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Finding the Fourth Proportional to 138,712.19, 208,050.75 and 43,951.98

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Solution

The fourth proportional to 138,712.19, 208,050.75 and 43,951.98 is: 65,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712.19 : 208,050.75 = 43,951.98 : x
  2. Step 2: Convert to fraction form
    138,712.19/208,050.75 = 43,951.98/x
  3. Step 3: Cross multiply
    138,712.19x = 208,050.75 × 43,951.98
  4. Step 4: Simplify right side
    138,712.19x = 9,144,242,402.99
  5. Step 5: Solve for x
    x = 9,144,242,402.99/138,712.19
  6. Step 6: Final answer
    x = 65,922.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.