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Finding the Fourth Proportional to 107,228.80, 160,843.20 and 102,678.40

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Solution

The fourth proportional to 107,228.80, 160,843.20 and 102,678.40 is: 154,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,228.80 : 160,843.20 = 102,678.40 : x
  2. Step 2: Convert to fraction form
    107,228.80/160,843.20 = 102,678.40/x
  3. Step 3: Cross multiply
    107,228.80x = 160,843.20 × 102,678.40
  4. Step 4: Simplify right side
    107,228.80x = 16,515,122,426.88
  5. Step 5: Solve for x
    x = 16,515,122,426.88/107,228.80
  6. Step 6: Final answer
    x = 154,017.60

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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.