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Finding the Fourth Proportional to 156,254.88, 234,393.24 and 77,347.92

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Solution

The fourth proportional to 156,254.88, 234,393.24 and 77,347.92 is: 116,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,254.88 : 234,393.24 = 77,347.92 : x
  2. Step 2: Convert to fraction form
    156,254.88/234,393.24 = 77,347.92/x
  3. Step 3: Cross multiply
    156,254.88x = 234,393.24 × 77,347.92
  4. Step 4: Simplify right side
    156,254.88x = 18,129,829,576.06
  5. Step 5: Solve for x
    x = 18,129,829,576.06/156,254.88
  6. Step 6: Final answer
    x = 116,027.29

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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.