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Finding the Fourth Proportional to 102,180, 141,014.88 and 57,468

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Solution

The fourth proportional to 102,180, 141,014.88 and 57,468 is: 79,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180 : 141,014.88 = 57,468 : x
  2. Step 2: Convert to fraction form
    102,180/141,014.88 = 57,468/x
  3. Step 3: Cross multiply
    102,180x = 141,014.88 × 57,468
  4. Step 4: Simplify right side
    102,180x = 8,103,843,123.84
  5. Step 5: Solve for x
    x = 8,103,843,123.84/102,180
  6. Step 6: Final answer
    x = 79,309.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.