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Finding the Fourth Proportional to 137,140.56, 205,554.69 and 85,873.19

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Solution

The fourth proportional to 137,140.56, 205,554.69 and 85,873.19 is: 128,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,140.56 : 205,554.69 = 85,873.19 : x
  2. Step 2: Convert to fraction form
    137,140.56/205,554.69 = 85,873.19/x
  3. Step 3: Cross multiply
    137,140.56x = 205,554.69 × 85,873.19
  4. Step 4: Simplify right side
    137,140.56x = 17,651,635,921.99
  5. Step 5: Solve for x
    x = 17,651,635,921.99/137,140.56
  6. Step 6: Final answer
    x = 128,712.00

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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.