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Finding the Fourth Proportional to 106,442.10, 159,663.15 and 101,258.10

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Solution

The fourth proportional to 106,442.10, 159,663.15 and 101,258.10 is: 151,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442.10 : 159,663.15 = 101,258.10 : x
  2. Step 2: Convert to fraction form
    106,442.10/159,663.15 = 101,258.10/x
  3. Step 3: Cross multiply
    106,442.10x = 159,663.15 × 101,258.10
  4. Step 4: Simplify right side
    106,442.10x = 16,167,187,209.02
  5. Step 5: Solve for x
    x = 16,167,187,209.02/106,442.10
  6. Step 6: Final answer
    x = 151,887.15

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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.