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Finding the Fourth Proportional to 129,106.80, 193,703.92 and 65,953.52

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Solution

The fourth proportional to 129,106.80, 193,703.92 and 65,953.52 is: 98,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,106.80 : 193,703.92 = 65,953.52 : x
  2. Step 2: Convert to fraction form
    129,106.80/193,703.92 = 65,953.52/x
  3. Step 3: Cross multiply
    129,106.80x = 193,703.92 × 65,953.52
  4. Step 4: Simplify right side
    129,106.80x = 12,775,455,361.80
  5. Step 5: Solve for x
    x = 12,775,455,361.80/129,106.80
  6. Step 6: Final answer
    x = 98,952.61

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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.