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Finding the Fourth Proportional to 136,776, 205,175.52 and 38,280

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Solution

The fourth proportional to 136,776, 205,175.52 and 38,280 is: 57,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,776 : 205,175.52 = 38,280 : x
  2. Step 2: Convert to fraction form
    136,776/205,175.52 = 38,280/x
  3. Step 3: Cross multiply
    136,776x = 205,175.52 × 38,280
  4. Step 4: Simplify right side
    136,776x = 7,854,118,905.60
  5. Step 5: Solve for x
    x = 7,854,118,905.60/136,776
  6. Step 6: Final answer
    x = 57,423.22

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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.