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Finding the Fourth Proportional to 117,876.84, 176,782.32 and 46,767.48

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Solution

The fourth proportional to 117,876.84, 176,782.32 and 46,767.48 is: 70,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,876.84 : 176,782.32 = 46,767.48 : x
  2. Step 2: Convert to fraction form
    117,876.84/176,782.32 = 46,767.48/x
  3. Step 3: Cross multiply
    117,876.84x = 176,782.32 × 46,767.48
  4. Step 4: Simplify right side
    117,876.84x = 8,267,663,614.95
  5. Step 5: Solve for x
    x = 8,267,663,614.95/117,876.84
  6. Step 6: Final answer
    x = 70,138.15

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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.