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Finding the Fourth Proportional to 146,082.49, 219,193.13 and 101,172.96

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Solution

The fourth proportional to 146,082.49, 219,193.13 and 101,172.96 is: 151,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,082.49 : 219,193.13 = 101,172.96 : x
  2. Step 2: Convert to fraction form
    146,082.49/219,193.13 = 101,172.96/x
  3. Step 3: Cross multiply
    146,082.49x = 219,193.13 × 101,172.96
  4. Step 4: Simplify right side
    146,082.49x = 22,176,417,773.76
  5. Step 5: Solve for x
    x = 22,176,417,773.76/146,082.49
  6. Step 6: Final answer
    x = 151,807.50

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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.