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Finding the Fourth Proportional to 128,442, 177,190.08 and 83,134.56

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Solution

The fourth proportional to 128,442, 177,190.08 and 83,134.56 is: 114,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,442 : 177,190.08 = 83,134.56 : x
  2. Step 2: Convert to fraction form
    128,442/177,190.08 = 83,134.56/x
  3. Step 3: Cross multiply
    128,442x = 177,190.08 × 83,134.56
  4. Step 4: Simplify right side
    128,442x = 14,730,619,337.16
  5. Step 5: Solve for x
    x = 14,730,619,337.16/128,442
  6. Step 6: Final answer
    x = 114,686.94

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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.