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Finding the Fourth Proportional to 176,787.16, 265,180.76 and 145,556.80

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Solution

The fourth proportional to 176,787.16, 265,180.76 and 145,556.80 is: 218,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,787.16 : 265,180.76 = 145,556.80 : x
  2. Step 2: Convert to fraction form
    176,787.16/265,180.76 = 145,556.80/x
  3. Step 3: Cross multiply
    176,787.16x = 265,180.76 × 145,556.80
  4. Step 4: Simplify right side
    176,787.16x = 38,598,862,847.17
  5. Step 5: Solve for x
    x = 38,598,862,847.17/176,787.16
  6. Step 6: Final answer
    x = 218,335.22

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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.