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Finding the Fourth Proportional to 194,717.60, 292,043.28 and 54,443.60

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Solution

The fourth proportional to 194,717.60, 292,043.28 and 54,443.60 is: 81,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,717.60 : 292,043.28 = 54,443.60 : x
  2. Step 2: Convert to fraction form
    194,717.60/292,043.28 = 54,443.60/x
  3. Step 3: Cross multiply
    194,717.60x = 292,043.28 × 54,443.60
  4. Step 4: Simplify right side
    194,717.60x = 15,899,887,519.01
  5. Step 5: Solve for x
    x = 15,899,887,519.01/194,717.60
  6. Step 6: Final answer
    x = 81,656.14

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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.