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Finding the Fourth Proportional to 212,672.30, 318,931.65 and 107,456.30

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Solution

The fourth proportional to 212,672.30, 318,931.65 and 107,456.30 is: 161,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,672.30 : 318,931.65 = 107,456.30 : x
  2. Step 2: Convert to fraction form
    212,672.30/318,931.65 = 107,456.30/x
  3. Step 3: Cross multiply
    212,672.30x = 318,931.65 × 107,456.30
  4. Step 4: Simplify right side
    212,672.30x = 34,271,215,061.90
  5. Step 5: Solve for x
    x = 34,271,215,061.90/212,672.30
  6. Step 6: Final answer
    x = 161,145.65

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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.