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Finding the Fourth Proportional to 208,205.40, 287,323.44 and 112,712.88

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Solution

The fourth proportional to 208,205.40, 287,323.44 and 112,712.88 is: 155,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.40 : 287,323.44 = 112,712.88 : x
  2. Step 2: Convert to fraction form
    208,205.40/287,323.44 = 112,712.88/x
  3. Step 3: Cross multiply
    208,205.40x = 287,323.44 × 112,712.88
  4. Step 4: Simplify right side
    208,205.40x = 32,385,052,413.91
  5. Step 5: Solve for x
    x = 32,385,052,413.91/208,205.40
  6. Step 6: Final answer
    x = 155,543.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.