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Finding the Fourth Proportional to 178,482.24, 246,287.24 and 106,860.40

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Solution

The fourth proportional to 178,482.24, 246,287.24 and 106,860.40 is: 147,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,482.24 : 246,287.24 = 106,860.40 : x
  2. Step 2: Convert to fraction form
    178,482.24/246,287.24 = 106,860.40/x
  3. Step 3: Cross multiply
    178,482.24x = 246,287.24 × 106,860.40
  4. Step 4: Simplify right side
    178,482.24x = 26,318,352,981.30
  5. Step 5: Solve for x
    x = 26,318,352,981.30/178,482.24
  6. Step 6: Final answer
    x = 147,456.42

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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.