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Finding the Fourth Proportional to 266,298.28, 367,475.36 and 145,415

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Solution

The fourth proportional to 266,298.28, 367,475.36 and 145,415 is: 200,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,298.28 : 367,475.36 = 145,415 : x
  2. Step 2: Convert to fraction form
    266,298.28/367,475.36 = 145,415/x
  3. Step 3: Cross multiply
    266,298.28x = 367,475.36 × 145,415
  4. Step 4: Simplify right side
    266,298.28x = 53,436,429,474.40
  5. Step 5: Solve for x
    x = 53,436,429,474.40/266,298.28
  6. Step 6: Final answer
    x = 200,663.82

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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.