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Finding the Fourth Proportional to 119,613.05, 165,073.47 and 65,898.06

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Solution

The fourth proportional to 119,613.05, 165,073.47 and 65,898.06 is: 90,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,613.05 : 165,073.47 = 65,898.06 : x
  2. Step 2: Convert to fraction form
    119,613.05/165,073.47 = 65,898.06/x
  3. Step 3: Cross multiply
    119,613.05x = 165,073.47 × 65,898.06
  4. Step 4: Simplify right side
    119,613.05x = 10,878,020,564.33
  5. Step 5: Solve for x
    x = 10,878,020,564.33/119,613.05
  6. Step 6: Final answer
    x = 90,943.43

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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.