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Finding the Fourth Proportional to 215,876.60, 323,814.90 and 194,881.40

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Solution

The fourth proportional to 215,876.60, 323,814.90 and 194,881.40 is: 292,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,876.60 : 323,814.90 = 194,881.40 : x
  2. Step 2: Convert to fraction form
    215,876.60/323,814.90 = 194,881.40/x
  3. Step 3: Cross multiply
    215,876.60x = 323,814.90 × 194,881.40
  4. Step 4: Simplify right side
    215,876.60x = 63,105,501,052.86
  5. Step 5: Solve for x
    x = 63,105,501,052.86/215,876.60
  6. Step 6: Final answer
    x = 292,322.10

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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.