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Finding the Fourth Proportional to 118,444.73, 177,696.27 and 83,452.73

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Solution

The fourth proportional to 118,444.73, 177,696.27 and 83,452.73 is: 125,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,444.73 : 177,696.27 = 83,452.73 : x
  2. Step 2: Convert to fraction form
    118,444.73/177,696.27 = 83,452.73/x
  3. Step 3: Cross multiply
    118,444.73x = 177,696.27 × 83,452.73
  4. Step 4: Simplify right side
    118,444.73x = 14,829,237,953.84
  5. Step 5: Solve for x
    x = 14,829,237,953.84/118,444.73
  6. Step 6: Final answer
    x = 125,199.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.