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Finding the Fourth Proportional to 194,272.76, 291,425.54 and 54,031.38

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Solution

The fourth proportional to 194,272.76, 291,425.54 and 54,031.38 is: 81,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,272.76 : 291,425.54 = 54,031.38 : x
  2. Step 2: Convert to fraction form
    194,272.76/291,425.54 = 54,031.38/x
  3. Step 3: Cross multiply
    194,272.76x = 291,425.54 × 54,031.38
  4. Step 4: Simplify right side
    194,272.76x = 15,746,123,823.29
  5. Step 5: Solve for x
    x = 15,746,123,823.29/194,272.76
  6. Step 6: Final answer
    x = 81,051.63

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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.