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Finding the Fourth Proportional to 180,658.78, 271,002.19 and 54,289.16

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Solution

The fourth proportional to 180,658.78, 271,002.19 and 54,289.16 is: 81,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658.78 : 271,002.19 = 54,289.16 : x
  2. Step 2: Convert to fraction form
    180,658.78/271,002.19 = 54,289.16/x
  3. Step 3: Cross multiply
    180,658.78x = 271,002.19 × 54,289.16
  4. Step 4: Simplify right side
    180,658.78x = 14,712,481,253.26
  5. Step 5: Solve for x
    x = 14,712,481,253.26/180,658.78
  6. Step 6: Final answer
    x = 81,437.95

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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.