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Finding the Fourth Proportional to 106,546.74, 147,089.78 and 77,834.16

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Solution

The fourth proportional to 106,546.74, 147,089.78 and 77,834.16 is: 107,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.74 : 147,089.78 = 77,834.16 : x
  2. Step 2: Convert to fraction form
    106,546.74/147,089.78 = 77,834.16/x
  3. Step 3: Cross multiply
    106,546.74x = 147,089.78 × 77,834.16
  4. Step 4: Simplify right side
    106,546.74x = 11,448,609,470.88
  5. Step 5: Solve for x
    x = 11,448,609,470.88/106,546.74
  6. Step 6: Final answer
    x = 107,451.52

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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.