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Finding the Fourth Proportional to 119,748.48, 165,254.04 and 66,035.50

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Solution

The fourth proportional to 119,748.48, 165,254.04 and 66,035.50 is: 91,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,748.48 : 165,254.04 = 66,035.50 : x
  2. Step 2: Convert to fraction form
    119,748.48/165,254.04 = 66,035.50/x
  3. Step 3: Cross multiply
    119,748.48x = 165,254.04 × 66,035.50
  4. Step 4: Simplify right side
    119,748.48x = 10,912,633,158.42
  5. Step 5: Solve for x
    x = 10,912,633,158.42/119,748.48
  6. Step 6: Final answer
    x = 91,129.62

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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.