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Finding the Fourth Proportional to 115,430.16, 159,296.12 and 63,747.10

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Solution

The fourth proportional to 115,430.16, 159,296.12 and 63,747.10 is: 87,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,430.16 : 159,296.12 = 63,747.10 : x
  2. Step 2: Convert to fraction form
    115,430.16/159,296.12 = 63,747.10/x
  3. Step 3: Cross multiply
    115,430.16x = 159,296.12 × 63,747.10
  4. Step 4: Simplify right side
    115,430.16x = 10,154,665,810.69
  5. Step 5: Solve for x
    x = 10,154,665,810.69/115,430.16
  6. Step 6: Final answer
    x = 87,972.38

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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.