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Finding the Fourth Proportional to 118,471.84, 177,738.88 and 42,578.04

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Solution

The fourth proportional to 118,471.84, 177,738.88 and 42,578.04 is: 63,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,471.84 : 177,738.88 = 42,578.04 : x
  2. Step 2: Convert to fraction form
    118,471.84/177,738.88 = 42,578.04/x
  3. Step 3: Cross multiply
    118,471.84x = 177,738.88 × 42,578.04
  4. Step 4: Simplify right side
    118,471.84x = 7,567,773,608.51
  5. Step 5: Solve for x
    x = 7,567,773,608.51/118,471.84
  6. Step 6: Final answer
    x = 63,878.25

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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.