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Finding the Fourth Proportional to 117,009.20, 175,513.80 and 64,521.20

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Solution

The fourth proportional to 117,009.20, 175,513.80 and 64,521.20 is: 96,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009.20 : 175,513.80 = 64,521.20 : x
  2. Step 2: Convert to fraction form
    117,009.20/175,513.80 = 64,521.20/x
  3. Step 3: Cross multiply
    117,009.20x = 175,513.80 × 64,521.20
  4. Step 4: Simplify right side
    117,009.20x = 11,324,360,992.56
  5. Step 5: Solve for x
    x = 11,324,360,992.56/117,009.20
  6. Step 6: Final answer
    x = 96,781.80

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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.