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Finding the Fourth Proportional to 170,142.87, 234,810.72 and 98,524.16

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Solution

The fourth proportional to 170,142.87, 234,810.72 and 98,524.16 is: 135,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,142.87 : 234,810.72 = 98,524.16 : x
  2. Step 2: Convert to fraction form
    170,142.87/234,810.72 = 98,524.16/x
  3. Step 3: Cross multiply
    170,142.87x = 234,810.72 × 98,524.16
  4. Step 4: Simplify right side
    170,142.87x = 23,134,527,772.94
  5. Step 5: Solve for x
    x = 23,134,527,772.94/170,142.87
  6. Step 6: Final answer
    x = 135,971.19

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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.