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Finding the Fourth Proportional to 195,852.80, 293,721.60 and 77,484.80

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Solution

The fourth proportional to 195,852.80, 293,721.60 and 77,484.80 is: 116,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,852.80 : 293,721.60 = 77,484.80 : x
  2. Step 2: Convert to fraction form
    195,852.80/293,721.60 = 77,484.80/x
  3. Step 3: Cross multiply
    195,852.80x = 293,721.60 × 77,484.80
  4. Step 4: Simplify right side
    195,852.80x = 22,758,959,431.68
  5. Step 5: Solve for x
    x = 22,758,959,431.68/195,852.80
  6. Step 6: Final answer
    x = 116,204.41

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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.