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Finding the Fourth Proportional to 219,251.52, 328,819.68 and 94,564.80

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Solution

The fourth proportional to 219,251.52, 328,819.68 and 94,564.80 is: 141,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,251.52 : 328,819.68 = 94,564.80 : x
  2. Step 2: Convert to fraction form
    219,251.52/328,819.68 = 94,564.80/x
  3. Step 3: Cross multiply
    219,251.52x = 328,819.68 × 94,564.80
  4. Step 4: Simplify right side
    219,251.52x = 31,094,767,275.26
  5. Step 5: Solve for x
    x = 31,094,767,275.26/219,251.52
  6. Step 6: Final answer
    x = 141,822.36

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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.