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Finding the Fourth Proportional to 134,800.50, 186,024.69 and 75,184.50

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Solution

The fourth proportional to 134,800.50, 186,024.69 and 75,184.50 is: 103,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,800.50 : 186,024.69 = 75,184.50 : x
  2. Step 2: Convert to fraction form
    134,800.50/186,024.69 = 75,184.50/x
  3. Step 3: Cross multiply
    134,800.50x = 186,024.69 × 75,184.50
  4. Step 4: Simplify right side
    134,800.50x = 13,986,173,305.31
  5. Step 5: Solve for x
    x = 13,986,173,305.31/134,800.50
  6. Step 6: Final answer
    x = 103,754.61

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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.