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Finding the Fourth Proportional to 253,897.24, 380,878.62 and 85,344.88

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Solution

The fourth proportional to 253,897.24, 380,878.62 and 85,344.88 is: 128,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,897.24 : 380,878.62 = 85,344.88 : x
  2. Step 2: Convert to fraction form
    253,897.24/380,878.62 = 85,344.88/x
  3. Step 3: Cross multiply
    253,897.24x = 380,878.62 × 85,344.88
  4. Step 4: Simplify right side
    253,897.24x = 32,506,040,118.47
  5. Step 5: Solve for x
    x = 32,506,040,118.47/253,897.24
  6. Step 6: Final answer
    x = 128,028.33

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1.5x scale

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.