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Finding the Fourth Proportional to 205,460.32, 308,237.76 and 87,136.24

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Solution

The fourth proportional to 205,460.32, 308,237.76 and 87,136.24 is: 130,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,460.32 : 308,237.76 = 87,136.24 : x
  2. Step 2: Convert to fraction form
    205,460.32/308,237.76 = 87,136.24/x
  3. Step 3: Cross multiply
    205,460.32x = 308,237.76 × 87,136.24
  4. Step 4: Simplify right side
    205,460.32x = 26,858,679,432.42
  5. Step 5: Solve for x
    x = 26,858,679,432.42/205,460.32
  6. Step 6: Final answer
    x = 130,724.41

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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.