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Finding the Fourth Proportional to 117,412.98, 176,116.32 and 33,178.98

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Solution

The fourth proportional to 117,412.98, 176,116.32 and 33,178.98 is: 49,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,412.98 : 176,116.32 = 33,178.98 : x
  2. Step 2: Convert to fraction form
    117,412.98/176,116.32 = 33,178.98/x
  3. Step 3: Cross multiply
    117,412.98x = 176,116.32 × 33,178.98
  4. Step 4: Simplify right side
    117,412.98x = 5,843,359,858.95
  5. Step 5: Solve for x
    x = 5,843,359,858.95/117,412.98
  6. Step 6: Final answer
    x = 49,767.58

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1.5x scale

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.