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Finding the Fourth Proportional to 253,214.77, 349,397.56 and 145,764.04

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Solution

The fourth proportional to 253,214.77, 349,397.56 and 145,764.04 is: 201,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,214.77 : 349,397.56 = 145,764.04 : x
  2. Step 2: Convert to fraction form
    253,214.77/349,397.56 = 145,764.04/x
  3. Step 3: Cross multiply
    253,214.77x = 349,397.56 × 145,764.04
  4. Step 4: Simplify right side
    253,214.77x = 50,929,597,435.93
  5. Step 5: Solve for x
    x = 50,929,597,435.93/253,214.77
  6. Step 6: Final answer
    x = 201,132.02

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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.