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Finding the Fourth Proportional to 138,675.94, 208,045.24 and 43,911.88

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Solution

The fourth proportional to 138,675.94, 208,045.24 and 43,911.88 is: 65,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,675.94 : 208,045.24 = 43,911.88 : x
  2. Step 2: Convert to fraction form
    138,675.94/208,045.24 = 43,911.88/x
  3. Step 3: Cross multiply
    138,675.94x = 208,045.24 × 43,911.88
  4. Step 4: Simplify right side
    138,675.94x = 9,135,657,613.45
  5. Step 5: Solve for x
    x = 9,135,657,613.45/138,675.94
  6. Step 6: Final answer
    x = 65,877.74

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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.