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Finding the Fourth Proportional to 106,516.30, 159,713.70 and 39,958.60

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Solution

The fourth proportional to 106,516.30, 159,713.70 and 39,958.60 is: 59,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,516.30 : 159,713.70 = 39,958.60 : x
  2. Step 2: Convert to fraction form
    106,516.30/159,713.70 = 39,958.60/x
  3. Step 3: Cross multiply
    106,516.30x = 159,713.70 × 39,958.60
  4. Step 4: Simplify right side
    106,516.30x = 6,381,935,852.82
  5. Step 5: Solve for x
    x = 6,381,935,852.82/106,516.30
  6. Step 6: Final answer
    x = 59,915.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.