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Finding the Fourth Proportional to 102,585.70, 153,878.55 and 80,467.30

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Solution

The fourth proportional to 102,585.70, 153,878.55 and 80,467.30 is: 120,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585.70 : 153,878.55 = 80,467.30 : x
  2. Step 2: Convert to fraction form
    102,585.70/153,878.55 = 80,467.30/x
  3. Step 3: Cross multiply
    102,585.70x = 153,878.55 × 80,467.30
  4. Step 4: Simplify right side
    102,585.70x = 12,382,191,446.42
  5. Step 5: Solve for x
    x = 12,382,191,446.42/102,585.70
  6. Step 6: Final answer
    x = 120,700.95

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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.