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Finding the Fourth Proportional to 102,446.61, 141,395.00 and 59,453.61

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Solution

The fourth proportional to 102,446.61, 141,395.00 and 59,453.61 is: 82,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,446.61 : 141,395.00 = 59,453.61 : x
  2. Step 2: Convert to fraction form
    102,446.61/141,395.00 = 59,453.61/x
  3. Step 3: Cross multiply
    102,446.61x = 141,395.00 × 59,453.61
  4. Step 4: Simplify right side
    102,446.61x = 8,406,442,888.68
  5. Step 5: Solve for x
    x = 8,406,442,888.68/102,446.61
  6. Step 6: Final answer
    x = 82,056.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.