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Finding the Fourth Proportional to 223,604.10, 334,531.35 and 144,872.10

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Solution

The fourth proportional to 223,604.10, 334,531.35 and 144,872.10 is: 216,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,604.10 : 334,531.35 = 144,872.10 : x
  2. Step 2: Convert to fraction form
    223,604.10/334,531.35 = 144,872.10/x
  3. Step 3: Cross multiply
    223,604.10x = 334,531.35 × 144,872.10
  4. Step 4: Simplify right side
    223,604.10x = 48,464,259,190.34
  5. Step 5: Solve for x
    x = 48,464,259,190.34/223,604.10
  6. Step 6: Final answer
    x = 216,741.37

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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.