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Finding the Fourth Proportional to 255,049.30, 382,245.90 and 155,103.40

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Solution

The fourth proportional to 255,049.30, 382,245.90 and 155,103.40 is: 232,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,049.30 : 382,245.90 = 155,103.40 : x
  2. Step 2: Convert to fraction form
    255,049.30/382,245.90 = 155,103.40/x
  3. Step 3: Cross multiply
    255,049.30x = 382,245.90 × 155,103.40
  4. Step 4: Simplify right side
    255,049.30x = 59,287,638,726.06
  5. Step 5: Solve for x
    x = 59,287,638,726.06/255,049.30
  6. Step 6: Final answer
    x = 232,455.60

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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.