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Finding the Fourth Proportional to 101,414.60, 152,214.90 and 51,529.40

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Solution

The fourth proportional to 101,414.60, 152,214.90 and 51,529.40 is: 77,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.60 : 152,214.90 = 51,529.40 : x
  2. Step 2: Convert to fraction form
    101,414.60/152,214.90 = 51,529.40/x
  3. Step 3: Cross multiply
    101,414.60x = 152,214.90 × 51,529.40
  4. Step 4: Simplify right side
    101,414.60x = 7,843,542,468.06
  5. Step 5: Solve for x
    x = 7,843,542,468.06/101,414.60
  6. Step 6: Final answer
    x = 77,341.35

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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.