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Finding the Fourth Proportional to 145,108.57, 200,238.84 and 81,434.06

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Solution

The fourth proportional to 145,108.57, 200,238.84 and 81,434.06 is: 112,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108.57 : 200,238.84 = 81,434.06 : x
  2. Step 2: Convert to fraction form
    145,108.57/200,238.84 = 81,434.06/x
  3. Step 3: Cross multiply
    145,108.57x = 200,238.84 × 81,434.06
  4. Step 4: Simplify right side
    145,108.57x = 16,306,262,516.87
  5. Step 5: Solve for x
    x = 16,306,262,516.87/145,108.57
  6. Step 6: Final answer
    x = 112,372.84

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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.