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Finding the Fourth Proportional to 185,802.71, 278,714.66 and 52,672.50

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Solution

The fourth proportional to 185,802.71, 278,714.66 and 52,672.50 is: 79,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,802.71 : 278,714.66 = 52,672.50 : x
  2. Step 2: Convert to fraction form
    185,802.71/278,714.66 = 52,672.50/x
  3. Step 3: Cross multiply
    185,802.71x = 278,714.66 × 52,672.50
  4. Step 4: Simplify right side
    185,802.71x = 14,680,597,665.49
  5. Step 5: Solve for x
    x = 14,680,597,665.49/185,802.71
  6. Step 6: Final answer
    x = 79,011.75

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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.