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Finding the Fourth Proportional to 117,204.41, 175,922.12 and 83,507.86

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Solution

The fourth proportional to 117,204.41, 175,922.12 and 83,507.86 is: 125,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204.41 : 175,922.12 = 83,507.86 : x
  2. Step 2: Convert to fraction form
    117,204.41/175,922.12 = 83,507.86/x
  3. Step 3: Cross multiply
    117,204.41x = 175,922.12 × 83,507.86
  4. Step 4: Simplify right side
    117,204.41x = 14,690,878,888.25
  5. Step 5: Solve for x
    x = 14,690,878,888.25/117,204.41
  6. Step 6: Final answer
    x = 125,344.08

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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.