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Finding the Fourth Proportional to 101,400.72, 152,139.96 and 42,220.50

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Solution

The fourth proportional to 101,400.72, 152,139.96 and 42,220.50 is: 63,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,400.72 : 152,139.96 = 42,220.50 : x
  2. Step 2: Convert to fraction form
    101,400.72/152,139.96 = 42,220.50/x
  3. Step 3: Cross multiply
    101,400.72x = 152,139.96 × 42,220.50
  4. Step 4: Simplify right side
    101,400.72x = 6,423,425,181.18
  5. Step 5: Solve for x
    x = 6,423,425,181.18/101,400.72
  6. Step 6: Final answer
    x = 63,346.94

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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.