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Finding the Fourth Proportional to 255,904.92, 383,693.12 and 106,248.51

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Solution

The fourth proportional to 255,904.92, 383,693.12 and 106,248.51 is: 159,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.92 : 383,693.12 = 106,248.51 : x
  2. Step 2: Convert to fraction form
    255,904.92/383,693.12 = 106,248.51/x
  3. Step 3: Cross multiply
    255,904.92x = 383,693.12 × 106,248.51
  4. Step 4: Simplify right side
    255,904.92x = 40,766,821,766.01
  5. Step 5: Solve for x
    x = 40,766,821,766.01/255,904.92
  6. Step 6: Final answer
    x = 159,304.56

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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.