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Finding the Fourth Proportional to 128,123.40, 176,747.42 and 82,840.22

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Solution

The fourth proportional to 128,123.40, 176,747.42 and 82,840.22 is: 114,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,123.40 : 176,747.42 = 82,840.22 : x
  2. Step 2: Convert to fraction form
    128,123.40/176,747.42 = 82,840.22/x
  3. Step 3: Cross multiply
    128,123.40x = 176,747.42 × 82,840.22
  4. Step 4: Simplify right side
    128,123.40x = 14,641,794,677.42
  5. Step 5: Solve for x
    x = 14,641,794,677.42/128,123.40
  6. Step 6: Final answer
    x = 114,278.85

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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.