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Finding the Fourth Proportional to 134,800, 186,024 and 75,184

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Solution

The fourth proportional to 134,800, 186,024 and 75,184 is: 103,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,800 : 186,024 = 75,184 : x
  2. Step 2: Convert to fraction form
    134,800/186,024 = 75,184/x
  3. Step 3: Cross multiply
    134,800x = 186,024 × 75,184
  4. Step 4: Simplify right side
    134,800x = 13,986,028,416
  5. Step 5: Solve for x
    x = 13,986,028,416/134,800
  6. Step 6: Final answer
    x = 103,753.92

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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.