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Finding the Fourth Proportional to 119,376.48, 164,743.56 and 65,663.76

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Solution

The fourth proportional to 119,376.48, 164,743.56 and 65,663.76 is: 90,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,376.48 : 164,743.56 = 65,663.76 : x
  2. Step 2: Convert to fraction form
    119,376.48/164,743.56 = 65,663.76/x
  3. Step 3: Cross multiply
    119,376.48x = 164,743.56 × 65,663.76
  4. Step 4: Simplify right side
    119,376.48x = 10,817,681,585.39
  5. Step 5: Solve for x
    x = 10,817,681,585.39/119,376.48
  6. Step 6: Final answer
    x = 90,618.20

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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.