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Finding the Fourth Proportional to 106,475.40, 159,713.10 and 59,722.20

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Solution

The fourth proportional to 106,475.40, 159,713.10 and 59,722.20 is: 89,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,475.40 : 159,713.10 = 59,722.20 : x
  2. Step 2: Convert to fraction form
    106,475.40/159,713.10 = 59,722.20/x
  3. Step 3: Cross multiply
    106,475.40x = 159,713.10 × 59,722.20
  4. Step 4: Simplify right side
    106,475.40x = 9,538,417,700.82
  5. Step 5: Solve for x
    x = 9,538,417,700.82/106,475.40
  6. Step 6: Final answer
    x = 89,583.30

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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.