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Finding the Fourth Proportional to 260,043.10, 390,064.65 and 149,451.10

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Solution

The fourth proportional to 260,043.10, 390,064.65 and 149,451.10 is: 224,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,043.10 : 390,064.65 = 149,451.10 : x
  2. Step 2: Convert to fraction form
    260,043.10/390,064.65 = 149,451.10/x
  3. Step 3: Cross multiply
    260,043.10x = 390,064.65 × 149,451.10
  4. Step 4: Simplify right side
    260,043.10x = 58,295,591,013.62
  5. Step 5: Solve for x
    x = 58,295,591,013.62/260,043.10
  6. Step 6: Final answer
    x = 224,176.65

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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.