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Finding the Fourth Proportional to 201,414.98, 277,959.65 and 110,777.80

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Solution

The fourth proportional to 201,414.98, 277,959.65 and 110,777.80 is: 152,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.98 : 277,959.65 = 110,777.80 : x
  2. Step 2: Convert to fraction form
    201,414.98/277,959.65 = 110,777.80/x
  3. Step 3: Cross multiply
    201,414.98x = 277,959.65 × 110,777.80
  4. Step 4: Simplify right side
    201,414.98x = 30,791,758,792.71
  5. Step 5: Solve for x
    x = 30,791,758,792.71/201,414.98
  6. Step 6: Final answer
    x = 152,877.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.