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Finding the Fourth Proportional to 119,672.70, 165,148.56 and 65,225.48

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Solution

The fourth proportional to 119,672.70, 165,148.56 and 65,225.48 is: 90,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,672.70 : 165,148.56 = 65,225.48 : x
  2. Step 2: Convert to fraction form
    119,672.70/165,148.56 = 65,225.48/x
  3. Step 3: Cross multiply
    119,672.70x = 165,148.56 × 65,225.48
  4. Step 4: Simplify right side
    119,672.70x = 10,771,894,097.31
  5. Step 5: Solve for x
    x = 10,771,894,097.31/119,672.70
  6. Step 6: Final answer
    x = 90,011.29

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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.