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Finding the Fourth Proportional to 266,141.14, 367,275.50 and 145,282.53

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Solution

The fourth proportional to 266,141.14, 367,275.50 and 145,282.53 is: 200,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,141.14 : 367,275.50 = 145,282.53 : x
  2. Step 2: Convert to fraction form
    266,141.14/367,275.50 = 145,282.53/x
  3. Step 3: Cross multiply
    266,141.14x = 367,275.50 × 145,282.53
  4. Step 4: Simplify right side
    266,141.14x = 53,358,713,847.02
  5. Step 5: Solve for x
    x = 53,358,713,847.02/266,141.14
  6. Step 6: Final answer
    x = 200,490.29

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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.