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Finding the Fourth Proportional to 145,206.56, 200,385.35 and 81,544.61

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Solution

The fourth proportional to 145,206.56, 200,385.35 and 81,544.61 is: 112,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,206.56 : 200,385.35 = 81,544.61 : x
  2. Step 2: Convert to fraction form
    145,206.56/200,385.35 = 81,544.61/x
  3. Step 3: Cross multiply
    145,206.56x = 200,385.35 × 81,544.61
  4. Step 4: Simplify right side
    145,206.56x = 16,340,343,805.81
  5. Step 5: Solve for x
    x = 16,340,343,805.81/145,206.56
  6. Step 6: Final answer
    x = 112,531.72

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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.