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Finding the Fourth Proportional to 157,430.96, 217,248.42 and 85,809.48

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Solution

The fourth proportional to 157,430.96, 217,248.42 and 85,809.48 is: 118,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,430.96 : 217,248.42 = 85,809.48 : x
  2. Step 2: Convert to fraction form
    157,430.96/217,248.42 = 85,809.48/x
  3. Step 3: Cross multiply
    157,430.96x = 217,248.42 × 85,809.48
  4. Step 4: Simplify right side
    157,430.96x = 18,641,973,951.02
  5. Step 5: Solve for x
    x = 18,641,973,951.02/157,430.96
  6. Step 6: Final answer
    x = 118,413.65

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