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Finding the Fourth Proportional to 120,136.80, 180,207.60 and 31,384.80

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Solution

The fourth proportional to 120,136.80, 180,207.60 and 31,384.80 is: 47,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,136.80 : 180,207.60 = 31,384.80 : x
  2. Step 2: Convert to fraction form
    120,136.80/180,207.60 = 31,384.80/x
  3. Step 3: Cross multiply
    120,136.80x = 180,207.60 × 31,384.80
  4. Step 4: Simplify right side
    120,136.80x = 5,655,779,484.48
  5. Step 5: Solve for x
    x = 5,655,779,484.48/120,136.80
  6. Step 6: Final answer
    x = 47,077.83

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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.