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Finding the Fourth Proportional to 253,057.23, 349,219.06 and 138,336.38

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Solution

The fourth proportional to 253,057.23, 349,219.06 and 138,336.38 is: 190,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,057.23 : 349,219.06 = 138,336.38 : x
  2. Step 2: Convert to fraction form
    253,057.23/349,219.06 = 138,336.38/x
  3. Step 3: Cross multiply
    253,057.23x = 349,219.06 × 138,336.38
  4. Step 4: Simplify right side
    253,057.23x = 48,309,700,587.40
  5. Step 5: Solve for x
    x = 48,309,700,587.40/253,057.23
  6. Step 6: Final answer
    x = 190,904.25

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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.