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Finding the Fourth Proportional to 208,543.24, 312,766.94 and 124,327.24

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Solution

The fourth proportional to 208,543.24, 312,766.94 and 124,327.24 is: 186,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.24 : 312,766.94 = 124,327.24 : x
  2. Step 2: Convert to fraction form
    208,543.24/312,766.94 = 124,327.24/x
  3. Step 3: Cross multiply
    208,543.24x = 312,766.94 × 124,327.24
  4. Step 4: Simplify right side
    208,543.24x = 38,885,450,413.45
  5. Step 5: Solve for x
    x = 38,885,450,413.45/208,543.24
  6. Step 6: Final answer
    x = 186,462.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.