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Finding the Fourth Proportional to 145,215.40, 217,823.10 and 75,231.40

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Solution

The fourth proportional to 145,215.40, 217,823.10 and 75,231.40 is: 112,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,215.40 : 217,823.10 = 75,231.40 : x
  2. Step 2: Convert to fraction form
    145,215.40/217,823.10 = 75,231.40/x
  3. Step 3: Cross multiply
    145,215.40x = 217,823.10 × 75,231.40
  4. Step 4: Simplify right side
    145,215.40x = 16,387,136,765.34
  5. Step 5: Solve for x
    x = 16,387,136,765.34/145,215.40
  6. Step 6: Final answer
    x = 112,847.10

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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.