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Finding the Fourth Proportional to 225,508.96, 338,263.44 and 59,284

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Solution

The fourth proportional to 225,508.96, 338,263.44 and 59,284 is: 88,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,508.96 : 338,263.44 = 59,284 : x
  2. Step 2: Convert to fraction form
    225,508.96/338,263.44 = 59,284/x
  3. Step 3: Cross multiply
    225,508.96x = 338,263.44 × 59,284
  4. Step 4: Simplify right side
    225,508.96x = 20,053,609,776.96
  5. Step 5: Solve for x
    x = 20,053,609,776.96/225,508.96
  6. Step 6: Final answer
    x = 88,926

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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.