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Finding the Fourth Proportional to 209,403.25, 313,312.25 and 124,059.93

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Solution

The fourth proportional to 209,403.25, 313,312.25 and 124,059.93 is: 185,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,403.25 : 313,312.25 = 124,059.93 : x
  2. Step 2: Convert to fraction form
    209,403.25/313,312.25 = 124,059.93/x
  3. Step 3: Cross multiply
    209,403.25x = 313,312.25 × 124,059.93
  4. Step 4: Simplify right side
    209,403.25x = 38,869,494,938.37
  5. Step 5: Solve for x
    x = 38,869,494,938.37/209,403.25
  6. Step 6: Final answer
    x = 185,620.31

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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.