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Finding the Fourth Proportional to 106,680, 147,218.40 and 59,576

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Solution

The fourth proportional to 106,680, 147,218.40 and 59,576 is: 82,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,680 : 147,218.40 = 59,576 : x
  2. Step 2: Convert to fraction form
    106,680/147,218.40 = 59,576/x
  3. Step 3: Cross multiply
    106,680x = 147,218.40 × 59,576
  4. Step 4: Simplify right side
    106,680x = 8,770,683,398.40
  5. Step 5: Solve for x
    x = 8,770,683,398.40/106,680
  6. Step 6: Final answer
    x = 82,214.88

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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.