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Finding the Fourth Proportional to 120,416.92, 180,737.46 and 61,296.84

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Solution

The fourth proportional to 120,416.92, 180,737.46 and 61,296.84 is: 92,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,416.92 : 180,737.46 = 61,296.84 : x
  2. Step 2: Convert to fraction form
    120,416.92/180,737.46 = 61,296.84/x
  3. Step 3: Cross multiply
    120,416.92x = 180,737.46 × 61,296.84
  4. Step 4: Simplify right side
    120,416.92x = 11,078,635,167.63
  5. Step 5: Solve for x
    x = 11,078,635,167.63/120,416.92
  6. Step 6: Final answer
    x = 92,002.32

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1.5x scale

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.