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Finding the Fourth Proportional to 188,429.38, 260,031.75 and 107,856.50

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Solution

The fourth proportional to 188,429.38, 260,031.75 and 107,856.50 is: 148,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,429.38 : 260,031.75 = 107,856.50 : x
  2. Step 2: Convert to fraction form
    188,429.38/260,031.75 = 107,856.50/x
  3. Step 3: Cross multiply
    188,429.38x = 260,031.75 × 107,856.50
  4. Step 4: Simplify right side
    188,429.38x = 28,046,114,443.88
  5. Step 5: Solve for x
    x = 28,046,114,443.88/188,429.38
  6. Step 6: Final answer
    x = 148,841.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.