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Finding the Fourth Proportional to 164,909.40, 247,364.10 and 155,067.90

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Solution

The fourth proportional to 164,909.40, 247,364.10 and 155,067.90 is: 232,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909.40 : 247,364.10 = 155,067.90 : x
  2. Step 2: Convert to fraction form
    164,909.40/247,364.10 = 155,067.90/x
  3. Step 3: Cross multiply
    164,909.40x = 247,364.10 × 155,067.90
  4. Step 4: Simplify right side
    164,909.40x = 38,358,231,522.39
  5. Step 5: Solve for x
    x = 38,358,231,522.39/164,909.40
  6. Step 6: Final answer
    x = 232,601.85

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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.