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Finding the Fourth Proportional to 255,952.31, 383,617.13 and 181,094.04

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Solution

The fourth proportional to 255,952.31, 383,617.13 and 181,094.04 is: 271,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,952.31 : 383,617.13 = 181,094.04 : x
  2. Step 2: Convert to fraction form
    255,952.31/383,617.13 = 181,094.04/x
  3. Step 3: Cross multiply
    255,952.31x = 383,617.13 × 181,094.04
  4. Step 4: Simplify right side
    255,952.31x = 69,470,774,979.44
  5. Step 5: Solve for x
    x = 69,470,774,979.44/255,952.31
  6. Step 6: Final answer
    x = 271,420.78

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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.