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Finding the Fourth Proportional to 281,402.47, 421,950.60 and 101,463.40

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Solution

The fourth proportional to 281,402.47, 421,950.60 and 101,463.40 is: 152,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,402.47 : 421,950.60 = 101,463.40 : x
  2. Step 2: Convert to fraction form
    281,402.47/421,950.60 = 101,463.40/x
  3. Step 3: Cross multiply
    281,402.47x = 421,950.60 × 101,463.40
  4. Step 4: Simplify right side
    281,402.47x = 42,812,542,508.04
  5. Step 5: Solve for x
    x = 42,812,542,508.04/281,402.47
  6. Step 6: Final answer
    x = 152,139.90

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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.