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Finding the Fourth Proportional to 280,073.10, 386,499.13 and 159,214.40

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Solution

The fourth proportional to 280,073.10, 386,499.13 and 159,214.40 is: 219,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,073.10 : 386,499.13 = 159,214.40 : x
  2. Step 2: Convert to fraction form
    280,073.10/386,499.13 = 159,214.40/x
  3. Step 3: Cross multiply
    280,073.10x = 386,499.13 × 159,214.40
  4. Step 4: Simplify right side
    280,073.10x = 61,536,226,202.31
  5. Step 5: Solve for x
    x = 61,536,226,202.31/280,073.10
  6. Step 6: Final answer
    x = 219,714.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.