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Finding the Fourth Proportional to 188,122, 282,275.26 and 88,290.30

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Solution

The fourth proportional to 188,122, 282,275.26 and 88,290.30 is: 132,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,122 : 282,275.26 = 88,290.30 : x
  2. Step 2: Convert to fraction form
    188,122/282,275.26 = 88,290.30/x
  3. Step 3: Cross multiply
    188,122x = 282,275.26 × 88,290.30
  4. Step 4: Simplify right side
    188,122x = 24,922,167,387.98
  5. Step 5: Solve for x
    x = 24,922,167,387.98/188,122
  6. Step 6: Final answer
    x = 132,478.75

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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.