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Finding the Fourth Proportional to 341,064.69, 511,509.77 and 101,122.49

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Solution

The fourth proportional to 341,064.69, 511,509.77 and 101,122.49 is: 151,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,064.69 : 511,509.77 = 101,122.49 : x
  2. Step 2: Convert to fraction form
    341,064.69/511,509.77 = 101,122.49/x
  3. Step 3: Cross multiply
    341,064.69x = 511,509.77 × 101,122.49
  4. Step 4: Simplify right side
    341,064.69x = 51,725,141,601.73
  5. Step 5: Solve for x
    x = 51,725,141,601.73/341,064.69
  6. Step 6: Final answer
    x = 151,657.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.