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Finding the Fourth Proportional to 285,651.12, 428,377.92 and 117,123.60

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Solution

The fourth proportional to 285,651.12, 428,377.92 and 117,123.60 is: 175,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,651.12 : 428,377.92 = 117,123.60 : x
  2. Step 2: Convert to fraction form
    285,651.12/428,377.92 = 117,123.60/x
  3. Step 3: Cross multiply
    285,651.12x = 428,377.92 × 117,123.60
  4. Step 4: Simplify right side
    285,651.12x = 50,173,164,150.91
  5. Step 5: Solve for x
    x = 50,173,164,150.91/285,651.12
  6. Step 6: Final answer
    x = 175,644.91

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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.