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Finding the Fourth Proportional to 176,413.30, 243,432.78 and 99,917.13

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Solution

The fourth proportional to 176,413.30, 243,432.78 and 99,917.13 is: 137,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,413.30 : 243,432.78 = 99,917.13 : x
  2. Step 2: Convert to fraction form
    176,413.30/243,432.78 = 99,917.13/x
  3. Step 3: Cross multiply
    176,413.30x = 243,432.78 × 99,917.13
  4. Step 4: Simplify right side
    176,413.30x = 24,323,104,456.43
  5. Step 5: Solve for x
    x = 24,323,104,456.43/176,413.30
  6. Step 6: Final answer
    x = 137,875.69

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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.