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Finding the Fourth Proportional to 157,413.74, 217,224.60 and 85,792.22

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Solution

The fourth proportional to 157,413.74, 217,224.60 and 85,792.22 is: 118,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413.74 : 217,224.60 = 85,792.22 : x
  2. Step 2: Convert to fraction form
    157,413.74/217,224.60 = 85,792.22/x
  3. Step 3: Cross multiply
    157,413.74x = 217,224.60 × 85,792.22
  4. Step 4: Simplify right side
    157,413.74x = 18,636,180,672.61
  5. Step 5: Solve for x
    x = 18,636,180,672.61/157,413.74
  6. Step 6: Final answer
    x = 118,389.80

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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.