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Finding the Fourth Proportional to 138,908.42, 208,059.15 and 85,437.62

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Solution

The fourth proportional to 138,908.42, 208,059.15 and 85,437.62 is: 127,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.42 : 208,059.15 = 85,437.62 : x
  2. Step 2: Convert to fraction form
    138,908.42/208,059.15 = 85,437.62/x
  3. Step 3: Cross multiply
    138,908.42x = 208,059.15 × 85,437.62
  4. Step 4: Simplify right side
    138,908.42x = 17,776,078,595.22
  5. Step 5: Solve for x
    x = 17,776,078,595.22/138,908.42
  6. Step 6: Final answer
    x = 127,969.77

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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.