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Finding the Fourth Proportional to 223,282.95, 308,144.24 and 127,787.60

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Solution

The fourth proportional to 223,282.95, 308,144.24 and 127,787.60 is: 176,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,282.95 : 308,144.24 = 127,787.60 : x
  2. Step 2: Convert to fraction form
    223,282.95/308,144.24 = 127,787.60/x
  3. Step 3: Cross multiply
    223,282.95x = 308,144.24 × 127,787.60
  4. Step 4: Simplify right side
    223,282.95x = 39,377,010,703.76
  5. Step 5: Solve for x
    x = 39,377,010,703.76/223,282.95
  6. Step 6: Final answer
    x = 176,354.76

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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.