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Finding the Fourth Proportional to 119,475.18, 164,871.90 and 65,760.24

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Solution

The fourth proportional to 119,475.18, 164,871.90 and 65,760.24 is: 90,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,475.18 : 164,871.90 = 65,760.24 : x
  2. Step 2: Convert to fraction form
    119,475.18/164,871.90 = 65,760.24/x
  3. Step 3: Cross multiply
    119,475.18x = 164,871.90 × 65,760.24
  4. Step 4: Simplify right side
    119,475.18x = 10,842,015,713.26
  5. Step 5: Solve for x
    x = 10,842,015,713.26/119,475.18
  6. Step 6: Final answer
    x = 90,747.01

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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.