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Finding the Fourth Proportional to 156,420, 216,037.80 and 106,031.52

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Solution

The fourth proportional to 156,420, 216,037.80 and 106,031.52 is: 146,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,420 : 216,037.80 = 106,031.52 : x
  2. Step 2: Convert to fraction form
    156,420/216,037.80 = 106,031.52/x
  3. Step 3: Cross multiply
    156,420x = 216,037.80 × 106,031.52
  4. Step 4: Simplify right side
    156,420x = 22,906,816,311.46
  5. Step 5: Solve for x
    x = 22,906,816,311.46/156,420
  6. Step 6: Final answer
    x = 146,444.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.