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Finding the Fourth Proportional to 117,866.84, 176,767.32 and 46,757.48

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Solution

The fourth proportional to 117,866.84, 176,767.32 and 46,757.48 is: 70,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,866.84 : 176,767.32 = 46,757.48 : x
  2. Step 2: Convert to fraction form
    117,866.84/176,767.32 = 46,757.48/x
  3. Step 3: Cross multiply
    117,866.84x = 176,767.32 × 46,757.48
  4. Step 4: Simplify right side
    117,866.84x = 8,265,194,429.55
  5. Step 5: Solve for x
    x = 8,265,194,429.55/117,866.84
  6. Step 6: Final answer
    x = 70,123.15

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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.