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Finding the Fourth Proportional to 145,282.68, 200,472.17 and 84,039.39

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Solution

The fourth proportional to 145,282.68, 200,472.17 and 84,039.39 is: 115,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,282.68 : 200,472.17 = 84,039.39 : x
  2. Step 2: Convert to fraction form
    145,282.68/200,472.17 = 84,039.39/x
  3. Step 3: Cross multiply
    145,282.68x = 200,472.17 × 84,039.39
  4. Step 4: Simplify right side
    145,282.68x = 16,847,558,458.58
  5. Step 5: Solve for x
    x = 16,847,558,458.58/145,282.68
  6. Step 6: Final answer
    x = 115,963.98

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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.