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Finding the Fourth Proportional to 119,463.82, 164,871.12 and 65,759.74

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Solution

The fourth proportional to 119,463.82, 164,871.12 and 65,759.74 is: 90,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,463.82 : 164,871.12 = 65,759.74 : x
  2. Step 2: Convert to fraction form
    119,463.82/164,871.12 = 65,759.74/x
  3. Step 3: Cross multiply
    119,463.82x = 164,871.12 × 65,759.74
  4. Step 4: Simplify right side
    119,463.82x = 10,841,881,984.71
  5. Step 5: Solve for x
    x = 10,841,881,984.71/119,463.82
  6. Step 6: Final answer
    x = 90,754.52

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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.