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Finding the Fourth Proportional to 310,960.60, 466,145.34 and 121,542.40

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Solution

The fourth proportional to 310,960.60, 466,145.34 and 121,542.40 is: 182,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,960.60 : 466,145.34 = 121,542.40 : x
  2. Step 2: Convert to fraction form
    310,960.60/466,145.34 = 121,542.40/x
  3. Step 3: Cross multiply
    310,960.60x = 466,145.34 × 121,542.40
  4. Step 4: Simplify right side
    310,960.60x = 56,656,423,372.42
  5. Step 5: Solve for x
    x = 56,656,423,372.42/310,960.60
  6. Step 6: Final answer
    x = 182,198.08

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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.