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Finding the Fourth Proportional to 172,854.20, 259,281.30 and 141,361.40

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Solution

The fourth proportional to 172,854.20, 259,281.30 and 141,361.40 is: 212,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854.20 : 259,281.30 = 141,361.40 : x
  2. Step 2: Convert to fraction form
    172,854.20/259,281.30 = 141,361.40/x
  3. Step 3: Cross multiply
    172,854.20x = 259,281.30 × 141,361.40
  4. Step 4: Simplify right side
    172,854.20x = 36,652,367,561.82
  5. Step 5: Solve for x
    x = 36,652,367,561.82/172,854.20
  6. Step 6: Final answer
    x = 212,042.10

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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.