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Finding the Fourth Proportional to 145,114.76, 200,247.38 and 81,440.26

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Solution

The fourth proportional to 145,114.76, 200,247.38 and 81,440.26 is: 112,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,114.76 : 200,247.38 = 81,440.26 : x
  2. Step 2: Convert to fraction form
    145,114.76/200,247.38 = 81,440.26/x
  3. Step 3: Cross multiply
    145,114.76x = 200,247.38 × 81,440.26
  4. Step 4: Simplify right side
    145,114.76x = 16,308,198,691.52
  5. Step 5: Solve for x
    x = 16,308,198,691.52/145,114.76
  6. Step 6: Final answer
    x = 112,381.39

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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.