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Finding the Fourth Proportional to 106,956.86, 147,605.90 and 61,642.22

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Solution

The fourth proportional to 106,956.86, 147,605.90 and 61,642.22 is: 85,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956.86 : 147,605.90 = 61,642.22 : x
  2. Step 2: Convert to fraction form
    106,956.86/147,605.90 = 61,642.22/x
  3. Step 3: Cross multiply
    106,956.86x = 147,605.90 × 61,642.22
  4. Step 4: Simplify right side
    106,956.86x = 9,098,754,314.86
  5. Step 5: Solve for x
    x = 9,098,754,314.86/106,956.86
  6. Step 6: Final answer
    x = 85,069.39

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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.