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Finding the Fourth Proportional to 113,159.93, 169,740.12 and 42,098.15

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Solution

The fourth proportional to 113,159.93, 169,740.12 and 42,098.15 is: 63,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,159.93 : 169,740.12 = 42,098.15 : x
  2. Step 2: Convert to fraction form
    113,159.93/169,740.12 = 42,098.15/x
  3. Step 3: Cross multiply
    113,159.93x = 169,740.12 × 42,098.15
  4. Step 4: Simplify right side
    113,159.93x = 7,145,744,184.08
  5. Step 5: Solve for x
    x = 7,145,744,184.08/113,159.93
  6. Step 6: Final answer
    x = 63,147.30

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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.