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Finding the Fourth Proportional to 207,232.60, 310,892.10 and 118,413.40

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Solution

The fourth proportional to 207,232.60, 310,892.10 and 118,413.40 is: 177,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,232.60 : 310,892.10 = 118,413.40 : x
  2. Step 2: Convert to fraction form
    207,232.60/310,892.10 = 118,413.40/x
  3. Step 3: Cross multiply
    207,232.60x = 310,892.10 × 118,413.40
  4. Step 4: Simplify right side
    207,232.60x = 36,813,790,594.14
  5. Step 5: Solve for x
    x = 36,813,790,594.14/207,232.60
  6. Step 6: Final answer
    x = 177,644.78

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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.