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Finding the Fourth Proportional to 175,647.80, 242,398.68 and 106,713.80

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Solution

The fourth proportional to 175,647.80, 242,398.68 and 106,713.80 is: 147,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,647.80 : 242,398.68 = 106,713.80 : x
  2. Step 2: Convert to fraction form
    175,647.80/242,398.68 = 106,713.80/x
  3. Step 3: Cross multiply
    175,647.80x = 242,398.68 × 106,713.80
  4. Step 4: Simplify right side
    175,647.80x = 25,867,284,863.78
  5. Step 5: Solve for x
    x = 25,867,284,863.78/175,647.80
  6. Step 6: Final answer
    x = 147,267.91

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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.