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Finding the Fourth Proportional to 209,429.90, 314,326.24 and 109,659.86

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Solution

The fourth proportional to 209,429.90, 314,326.24 and 109,659.86 is: 164,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,429.90 : 314,326.24 = 109,659.86 : x
  2. Step 2: Convert to fraction form
    209,429.90/314,326.24 = 109,659.86/x
  3. Step 3: Cross multiply
    209,429.90x = 314,326.24 × 109,659.86
  4. Step 4: Simplify right side
    209,429.90x = 34,468,971,472.73
  5. Step 5: Solve for x
    x = 34,468,971,472.73/209,429.90
  6. Step 6: Final answer
    x = 164,584.77

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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.