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Finding the Fourth Proportional to 145,178.46, 200,348.64 and 81,514.89

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Solution

The fourth proportional to 145,178.46, 200,348.64 and 81,514.89 is: 112,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,178.46 : 200,348.64 = 81,514.89 : x
  2. Step 2: Convert to fraction form
    145,178.46/200,348.64 = 81,514.89/x
  3. Step 3: Cross multiply
    145,178.46x = 200,348.64 × 81,514.89
  4. Step 4: Simplify right side
    145,178.46x = 16,331,397,351.25
  5. Step 5: Solve for x
    x = 16,331,397,351.25/145,178.46
  6. Step 6: Final answer
    x = 112,491.88

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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.