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Finding the Fourth Proportional to 117,140.75, 175,674.74 and 42,251.15

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Solution

The fourth proportional to 117,140.75, 175,674.74 and 42,251.15 is: 63,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,140.75 : 175,674.74 = 42,251.15 : x
  2. Step 2: Convert to fraction form
    117,140.75/175,674.74 = 42,251.15/x
  3. Step 3: Cross multiply
    117,140.75x = 175,674.74 × 42,251.15
  4. Step 4: Simplify right side
    117,140.75x = 7,422,460,018.88
  5. Step 5: Solve for x
    x = 7,422,460,018.88/117,140.75
  6. Step 6: Final answer
    x = 63,363.61

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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.