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Finding the Fourth Proportional to 219,313.92, 328,828.32 and 86,207.20

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Solution

The fourth proportional to 219,313.92, 328,828.32 and 86,207.20 is: 129,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,313.92 : 328,828.32 = 86,207.20 : x
  2. Step 2: Convert to fraction form
    219,313.92/328,828.32 = 86,207.20/x
  3. Step 3: Cross multiply
    219,313.92x = 328,828.32 × 86,207.20
  4. Step 4: Simplify right side
    219,313.92x = 28,347,368,747.90
  5. Step 5: Solve for x
    x = 28,347,368,747.90/219,313.92
  6. Step 6: Final answer
    x = 129,254.76

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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.