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Finding the Fourth Proportional to 106,501.31, 146,972.30 and 58,754.64

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Solution

The fourth proportional to 106,501.31, 146,972.30 and 58,754.64 is: 81,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501.31 : 146,972.30 = 58,754.64 : x
  2. Step 2: Convert to fraction form
    106,501.31/146,972.30 = 58,754.64/x
  3. Step 3: Cross multiply
    106,501.31x = 146,972.30 × 58,754.64
  4. Step 4: Simplify right side
    106,501.31x = 8,635,304,576.47
  5. Step 5: Solve for x
    x = 8,635,304,576.47/106,501.31
  6. Step 6: Final answer
    x = 81,081.67

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1.5x scale

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.