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Finding the Fourth Proportional to 101,459.40, 152,221.56 and 42,301.32

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Solution

The fourth proportional to 101,459.40, 152,221.56 and 42,301.32 is: 63,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,459.40 : 152,221.56 = 42,301.32 : x
  2. Step 2: Convert to fraction form
    101,459.40/152,221.56 = 42,301.32/x
  3. Step 3: Cross multiply
    101,459.40x = 152,221.56 × 42,301.32
  4. Step 4: Simplify right side
    101,459.40x = 6,439,172,920.46
  5. Step 5: Solve for x
    x = 6,439,172,920.46/101,459.40
  6. Step 6: Final answer
    x = 63,465.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.