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Finding the Fourth Proportional to 156,539.16, 234,844.56 and 67,807.44

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Solution

The fourth proportional to 156,539.16, 234,844.56 and 67,807.44 is: 101,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,539.16 : 234,844.56 = 67,807.44 : x
  2. Step 2: Convert to fraction form
    156,539.16/234,844.56 = 67,807.44/x
  3. Step 3: Cross multiply
    156,539.16x = 234,844.56 × 67,807.44
  4. Step 4: Simplify right side
    156,539.16x = 15,924,208,411.53
  5. Step 5: Solve for x
    x = 15,924,208,411.53/156,539.16
  6. Step 6: Final answer
    x = 101,726.68

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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.