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Finding the Fourth Proportional to 209,752.64, 314,654.88 and 76,695.56

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Solution

The fourth proportional to 209,752.64, 314,654.88 and 76,695.56 is: 115,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.64 : 314,654.88 = 76,695.56 : x
  2. Step 2: Convert to fraction form
    209,752.64/314,654.88 = 76,695.56/x
  3. Step 3: Cross multiply
    209,752.64x = 314,654.88 × 76,695.56
  4. Step 4: Simplify right side
    209,752.64x = 24,132,632,228.33
  5. Step 5: Solve for x
    x = 24,132,632,228.33/209,752.64
  6. Step 6: Final answer
    x = 115,052.82

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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.