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Finding the Fourth Proportional to 128,193.57, 176,790.06 and 97,922.61

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Solution

The fourth proportional to 128,193.57, 176,790.06 and 97,922.61 is: 135,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,193.57 : 176,790.06 = 97,922.61 : x
  2. Step 2: Convert to fraction form
    128,193.57/176,790.06 = 97,922.61/x
  3. Step 3: Cross multiply
    128,193.57x = 176,790.06 × 97,922.61
  4. Step 4: Simplify right side
    128,193.57x = 17,311,744,097.26
  5. Step 5: Solve for x
    x = 17,311,744,097.26/128,193.57
  6. Step 6: Final answer
    x = 135,043.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.