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Finding the Fourth Proportional to 137,583.10, 189,784.04 and 86,514.83

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Solution

The fourth proportional to 137,583.10, 189,784.04 and 86,514.83 is: 119,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.10 : 189,784.04 = 86,514.83 : x
  2. Step 2: Convert to fraction form
    137,583.10/189,784.04 = 86,514.83/x
  3. Step 3: Cross multiply
    137,583.10x = 189,784.04 × 86,514.83
  4. Step 4: Simplify right side
    137,583.10x = 16,419,132,575.82
  5. Step 5: Solve for x
    x = 16,419,132,575.82/137,583.10
  6. Step 6: Final answer
    x = 119,339.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.