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Finding the Fourth Proportional to 251,357.36, 346,834.47 and 149,345.06

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Solution

The fourth proportional to 251,357.36, 346,834.47 and 149,345.06 is: 206,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,357.36 : 346,834.47 = 149,345.06 : x
  2. Step 2: Convert to fraction form
    251,357.36/346,834.47 = 149,345.06/x
  3. Step 3: Cross multiply
    251,357.36x = 346,834.47 × 149,345.06
  4. Step 4: Simplify right side
    251,357.36x = 51,798,014,732.22
  5. Step 5: Solve for x
    x = 51,798,014,732.22/251,357.36
  6. Step 6: Final answer
    x = 206,073.20

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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.