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Finding the Fourth Proportional to 138,866, 208,308.72 and 55,760

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Solution

The fourth proportional to 138,866, 208,308.72 and 55,760 is: 83,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,866 : 208,308.72 = 55,760 : x
  2. Step 2: Convert to fraction form
    138,866/208,308.72 = 55,760/x
  3. Step 3: Cross multiply
    138,866x = 208,308.72 × 55,760
  4. Step 4: Simplify right side
    138,866x = 11,615,294,227.20
  5. Step 5: Solve for x
    x = 11,615,294,227.20/138,866
  6. Step 6: Final answer
    x = 83,643.90

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