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Finding the Fourth Proportional to 251,294.76, 346,768.56 and 149,315.76

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Solution

The fourth proportional to 251,294.76, 346,768.56 and 149,315.76 is: 206,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,294.76 : 346,768.56 = 149,315.76 : x
  2. Step 2: Convert to fraction form
    251,294.76/346,768.56 = 149,315.76/x
  3. Step 3: Cross multiply
    251,294.76x = 346,768.56 × 149,315.76
  4. Step 4: Simplify right side
    251,294.76x = 51,778,011,080.51
  5. Step 5: Solve for x
    x = 51,778,011,080.51/251,294.76
  6. Step 6: Final answer
    x = 206,044.93

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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.