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Finding the Fourth Proportional to 120,547.80, 166,359.92 and 66,837.83

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Solution

The fourth proportional to 120,547.80, 166,359.92 and 66,837.83 is: 92,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,547.80 : 166,359.92 = 66,837.83 : x
  2. Step 2: Convert to fraction form
    120,547.80/166,359.92 = 66,837.83/x
  3. Step 3: Cross multiply
    120,547.80x = 166,359.92 × 66,837.83
  4. Step 4: Simplify right side
    120,547.80x = 11,119,134,885.78
  5. Step 5: Solve for x
    x = 11,119,134,885.78/120,547.80
  6. Step 6: Final answer
    x = 92,238.39

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Why These Related Problems?

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