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Finding the Fourth Proportional to 223,414.30, 335,180.85 and 97,000.30

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Solution

The fourth proportional to 223,414.30, 335,180.85 and 97,000.30 is: 145,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,414.30 : 335,180.85 = 97,000.30 : x
  2. Step 2: Convert to fraction form
    223,414.30/335,180.85 = 97,000.30/x
  3. Step 3: Cross multiply
    223,414.30x = 335,180.85 × 97,000.30
  4. Step 4: Simplify right side
    223,414.30x = 32,512,643,004.26
  5. Step 5: Solve for x
    x = 32,512,643,004.26/223,414.30
  6. Step 6: Final answer
    x = 145,526.24

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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.