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Finding the Fourth Proportional to 156,761.98, 216,393.57 and 109,043.02

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Solution

The fourth proportional to 156,761.98, 216,393.57 and 109,043.02 is: 150,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,761.98 : 216,393.57 = 109,043.02 : x
  2. Step 2: Convert to fraction form
    156,761.98/216,393.57 = 109,043.02/x
  3. Step 3: Cross multiply
    156,761.98x = 216,393.57 × 109,043.02
  4. Step 4: Simplify right side
    156,761.98x = 23,596,208,381.38
  5. Step 5: Solve for x
    x = 23,596,208,381.38/156,761.98
  6. Step 6: Final answer
    x = 150,522.52

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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.