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Finding the Fourth Proportional to 267,530.68, 369,196.50 and 146,683

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Solution

The fourth proportional to 267,530.68, 369,196.50 and 146,683 is: 202,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,530.68 : 369,196.50 = 146,683 : x
  2. Step 2: Convert to fraction form
    267,530.68/369,196.50 = 146,683/x
  3. Step 3: Cross multiply
    267,530.68x = 369,196.50 × 146,683
  4. Step 4: Simplify right side
    267,530.68x = 54,154,850,209.50
  5. Step 5: Solve for x
    x = 54,154,850,209.50/267,530.68
  6. Step 6: Final answer
    x = 202,424.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.