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Finding the Fourth Proportional to 176,780.88, 243,952.94 and 96,206.68

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Solution

The fourth proportional to 176,780.88, 243,952.94 and 96,206.68 is: 132,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,780.88 : 243,952.94 = 96,206.68 : x
  2. Step 2: Convert to fraction form
    176,780.88/243,952.94 = 96,206.68/x
  3. Step 3: Cross multiply
    176,780.88x = 243,952.94 × 96,206.68
  4. Step 4: Simplify right side
    176,780.88x = 23,469,902,708.52
  5. Step 5: Solve for x
    x = 23,469,902,708.52/176,780.88
  6. Step 6: Final answer
    x = 132,762.67

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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.