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Finding the Fourth Proportional to 219,624.72, 329,437.08 and 53,411.28

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Solution

The fourth proportional to 219,624.72, 329,437.08 and 53,411.28 is: 80,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,624.72 : 329,437.08 = 53,411.28 : x
  2. Step 2: Convert to fraction form
    219,624.72/329,437.08 = 53,411.28/x
  3. Step 3: Cross multiply
    219,624.72x = 329,437.08 × 53,411.28
  4. Step 4: Simplify right side
    219,624.72x = 17,595,656,122.26
  5. Step 5: Solve for x
    x = 17,595,656,122.26/219,624.72
  6. Step 6: Final answer
    x = 80,116.92

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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.