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Finding the Fourth Proportional to 113,153.28, 156,134.16 and 65,397.36

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Solution

The fourth proportional to 113,153.28, 156,134.16 and 65,397.36 is: 90,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,153.28 : 156,134.16 = 65,397.36 : x
  2. Step 2: Convert to fraction form
    113,153.28/156,134.16 = 65,397.36/x
  3. Step 3: Cross multiply
    113,153.28x = 156,134.16 × 65,397.36
  4. Step 4: Simplify right side
    113,153.28x = 10,210,761,869.82
  5. Step 5: Solve for x
    x = 10,210,761,869.82/113,153.28
  6. Step 6: Final answer
    x = 90,238.32

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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.