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Finding the Fourth Proportional to 117,008.40, 175,512.60 and 83,656.65

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Solution

The fourth proportional to 117,008.40, 175,512.60 and 83,656.65 is: 125,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,008.40 : 175,512.60 = 83,656.65 : x
  2. Step 2: Convert to fraction form
    117,008.40/175,512.60 = 83,656.65/x
  3. Step 3: Cross multiply
    117,008.40x = 175,512.60 × 83,656.65
  4. Step 4: Simplify right side
    117,008.40x = 14,682,796,148.79
  5. Step 5: Solve for x
    x = 14,682,796,148.79/117,008.40
  6. Step 6: Final answer
    x = 125,484.98

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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.