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Finding the Fourth Proportional to 255,377.64, 382,938.30 and 148,796.04

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Solution

The fourth proportional to 255,377.64, 382,938.30 and 148,796.04 is: 223,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,377.64 : 382,938.30 = 148,796.04 : x
  2. Step 2: Convert to fraction form
    255,377.64/382,938.30 = 148,796.04/x
  3. Step 3: Cross multiply
    255,377.64x = 382,938.30 × 148,796.04
  4. Step 4: Simplify right side
    255,377.64x = 56,979,702,604.33
  5. Step 5: Solve for x
    x = 56,979,702,604.33/255,377.64
  6. Step 6: Final answer
    x = 223,119.39

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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.