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Finding the Fourth Proportional to 167,042, 230,625.48 and 149,106.32

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Solution

The fourth proportional to 167,042, 230,625.48 and 149,106.32 is: 205,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,042 : 230,625.48 = 149,106.32 : x
  2. Step 2: Convert to fraction form
    167,042/230,625.48 = 149,106.32/x
  3. Step 3: Cross multiply
    167,042x = 230,625.48 × 149,106.32
  4. Step 4: Simplify right side
    167,042x = 34,387,716,621.03
  5. Step 5: Solve for x
    x = 34,387,716,621.03/167,042
  6. Step 6: Final answer
    x = 205,862.70

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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.