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Finding the Fourth Proportional to 188,137.18, 282,298.02 and 88,305.50

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Solution

The fourth proportional to 188,137.18, 282,298.02 and 88,305.50 is: 132,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,137.18 : 282,298.02 = 88,305.50 : x
  2. Step 2: Convert to fraction form
    188,137.18/282,298.02 = 88,305.50/x
  3. Step 3: Cross multiply
    188,137.18x = 282,298.02 × 88,305.50
  4. Step 4: Simplify right side
    188,137.18x = 24,928,467,805.11
  5. Step 5: Solve for x
    x = 24,928,467,805.11/188,137.18
  6. Step 6: Final answer
    x = 132,501.55

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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.