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Finding the Fourth Proportional to 268,133.70, 402,200.55 and 110,475.30

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Solution

The fourth proportional to 268,133.70, 402,200.55 and 110,475.30 is: 165,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,133.70 : 402,200.55 = 110,475.30 : x
  2. Step 2: Convert to fraction form
    268,133.70/402,200.55 = 110,475.30/x
  3. Step 3: Cross multiply
    268,133.70x = 402,200.55 × 110,475.30
  4. Step 4: Simplify right side
    268,133.70x = 44,433,226,421.42
  5. Step 5: Solve for x
    x = 44,433,226,421.42/268,133.70
  6. Step 6: Final answer
    x = 165,712.95

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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.