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Finding the Fourth Proportional to 140,902.60, 211,382.70 and 47,417.80

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Solution

The fourth proportional to 140,902.60, 211,382.70 and 47,417.80 is: 71,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902.60 : 211,382.70 = 47,417.80 : x
  2. Step 2: Convert to fraction form
    140,902.60/211,382.70 = 47,417.80/x
  3. Step 3: Cross multiply
    140,902.60x = 211,382.70 × 47,417.80
  4. Step 4: Simplify right side
    140,902.60x = 10,023,302,592.06
  5. Step 5: Solve for x
    x = 10,023,302,592.06/140,902.60
  6. Step 6: Final answer
    x = 71,136.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.