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Finding the Fourth Proportional to 253,106.78, 349,276.29 and 145,680.26

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Solution

The fourth proportional to 253,106.78, 349,276.29 and 145,680.26 is: 201,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,106.78 : 349,276.29 = 145,680.26 : x
  2. Step 2: Convert to fraction form
    253,106.78/349,276.29 = 145,680.26/x
  3. Step 3: Cross multiply
    253,106.78x = 349,276.29 × 145,680.26
  4. Step 4: Simplify right side
    253,106.78x = 50,882,660,739.04
  5. Step 5: Solve for x
    x = 50,882,660,739.04/253,106.78
  6. Step 6: Final answer
    x = 201,032.39

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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.