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Finding the Fourth Proportional to 223,338.40, 334,424.40 and 144,023.20

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Solution

The fourth proportional to 223,338.40, 334,424.40 and 144,023.20 is: 215,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,338.40 : 334,424.40 = 144,023.20 : x
  2. Step 2: Convert to fraction form
    223,338.40/334,424.40 = 144,023.20/x
  3. Step 3: Cross multiply
    223,338.40x = 334,424.40 × 144,023.20
  4. Step 4: Simplify right side
    223,338.40x = 48,164,872,246.08
  5. Step 5: Solve for x
    x = 48,164,872,246.08/223,338.40
  6. Step 6: Final answer
    x = 215,658.71

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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.