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Finding the Fourth Proportional to 219,088.52, 328,632.80 and 52,876.52

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Solution

The fourth proportional to 219,088.52, 328,632.80 and 52,876.52 is: 79,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,088.52 : 328,632.80 = 52,876.52 : x
  2. Step 2: Convert to fraction form
    219,088.52/328,632.80 = 52,876.52/x
  3. Step 3: Cross multiply
    219,088.52x = 328,632.80 × 52,876.52
  4. Step 4: Simplify right side
    219,088.52x = 17,376,958,821.86
  5. Step 5: Solve for x
    x = 17,376,958,821.86/219,088.52
  6. Step 6: Final answer
    x = 79,314.78

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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.