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Finding the Fourth Proportional to 128,948.74, 177,946.42 and 71,584.76

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Solution

The fourth proportional to 128,948.74, 177,946.42 and 71,584.76 is: 98,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,948.74 : 177,946.42 = 71,584.76 : x
  2. Step 2: Convert to fraction form
    128,948.74/177,946.42 = 71,584.76/x
  3. Step 3: Cross multiply
    128,948.74x = 177,946.42 × 71,584.76
  4. Step 4: Simplify right side
    128,948.74x = 12,738,251,768.56
  5. Step 5: Solve for x
    x = 12,738,251,768.56/128,948.74
  6. Step 6: Final answer
    x = 98,785.39

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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.