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Finding the Fourth Proportional to 219,497.16, 329,246.10 and 53,285.16

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Solution

The fourth proportional to 219,497.16, 329,246.10 and 53,285.16 is: 79,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,497.16 : 329,246.10 = 53,285.16 : x
  2. Step 2: Convert to fraction form
    219,497.16/329,246.10 = 53,285.16/x
  3. Step 3: Cross multiply
    219,497.16x = 329,246.10 × 53,285.16
  4. Step 4: Simplify right side
    219,497.16x = 17,543,931,117.88
  5. Step 5: Solve for x
    x = 17,543,931,117.88/219,497.16
  6. Step 6: Final answer
    x = 79,927.83

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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.