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Finding the Fourth Proportional to 251,069.74, 346,526.53 and 149,151.82

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Solution

The fourth proportional to 251,069.74, 346,526.53 and 149,151.82 is: 205,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,069.74 : 346,526.53 = 149,151.82 : x
  2. Step 2: Convert to fraction form
    251,069.74/346,526.53 = 149,151.82/x
  3. Step 3: Cross multiply
    251,069.74x = 346,526.53 × 149,151.82
  4. Step 4: Simplify right side
    251,069.74x = 51,685,060,895.15
  5. Step 5: Solve for x
    x = 51,685,060,895.15/251,069.74
  6. Step 6: Final answer
    x = 205,859.38

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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.