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Finding the Fourth Proportional to 119,062.20, 164,300.70 and 65,348.13

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Solution

The fourth proportional to 119,062.20, 164,300.70 and 65,348.13 is: 90,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,062.20 : 164,300.70 = 65,348.13 : x
  2. Step 2: Convert to fraction form
    119,062.20/164,300.70 = 65,348.13/x
  3. Step 3: Cross multiply
    119,062.20x = 164,300.70 × 65,348.13
  4. Step 4: Simplify right side
    119,062.20x = 10,736,743,502.69
  5. Step 5: Solve for x
    x = 10,736,743,502.69/119,062.20
  6. Step 6: Final answer
    x = 90,177.60

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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.