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Finding the Fourth Proportional to 223,322.40, 334,400.40 and 144,007.20

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Solution

The fourth proportional to 223,322.40, 334,400.40 and 144,007.20 is: 215,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,322.40 : 334,400.40 = 144,007.20 : x
  2. Step 2: Convert to fraction form
    223,322.40/334,400.40 = 144,007.20/x
  3. Step 3: Cross multiply
    223,322.40x = 334,400.40 × 144,007.20
  4. Step 4: Simplify right side
    223,322.40x = 48,156,065,282.88
  5. Step 5: Solve for x
    x = 48,156,065,282.88/223,322.40
  6. Step 6: Final answer
    x = 215,634.73

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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.