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Finding the Fourth Proportional to 201,098.98, 277,519.92 and 110,463.32

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Solution

The fourth proportional to 201,098.98, 277,519.92 and 110,463.32 is: 152,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.98 : 277,519.92 = 110,463.32 : x
  2. Step 2: Convert to fraction form
    201,098.98/277,519.92 = 110,463.32/x
  3. Step 3: Cross multiply
    201,098.98x = 277,519.92 × 110,463.32
  4. Step 4: Simplify right side
    201,098.98x = 30,655,771,729.33
  5. Step 5: Solve for x
    x = 30,655,771,729.33/201,098.98
  6. Step 6: Final answer
    x = 152,441.21

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1.5x scale

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.