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Finding the Fourth Proportional to 106,700.31, 160,216.92 and 101,967.89

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Solution

The fourth proportional to 106,700.31, 160,216.92 and 101,967.89 is: 153,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.31 : 160,216.92 = 101,967.89 : x
  2. Step 2: Convert to fraction form
    106,700.31/160,216.92 = 101,967.89/x
  3. Step 3: Cross multiply
    106,700.31x = 160,216.92 × 101,967.89
  4. Step 4: Simplify right side
    106,700.31x = 16,336,980,473.61
  5. Step 5: Solve for x
    x = 16,336,980,473.61/106,700.31
  6. Step 6: Final answer
    x = 153,110.90

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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.