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Finding the Fourth Proportional to 101,717.30, 152,575.95 and 96,014.90

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Solution

The fourth proportional to 101,717.30, 152,575.95 and 96,014.90 is: 144,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,717.30 : 152,575.95 = 96,014.90 : x
  2. Step 2: Convert to fraction form
    101,717.30/152,575.95 = 96,014.90/x
  3. Step 3: Cross multiply
    101,717.30x = 152,575.95 × 96,014.90
  4. Step 4: Simplify right side
    101,717.30x = 14,649,564,581.66
  5. Step 5: Solve for x
    x = 14,649,564,581.66/101,717.30
  6. Step 6: Final answer
    x = 144,022.35

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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.