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Finding the Fourth Proportional to 180,265.05, 248,767.38 and 99,698.01

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Solution

The fourth proportional to 180,265.05, 248,767.38 and 99,698.01 is: 137,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,265.05 : 248,767.38 = 99,698.01 : x
  2. Step 2: Convert to fraction form
    180,265.05/248,767.38 = 99,698.01/x
  3. Step 3: Cross multiply
    180,265.05x = 248,767.38 × 99,698.01
  4. Step 4: Simplify right side
    180,265.05x = 24,801,612,738.91
  5. Step 5: Solve for x
    x = 24,801,612,738.91/180,265.05
  6. Step 6: Final answer
    x = 137,584.14

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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.