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Finding the Fourth Proportional to 259,342.65, 388,858.46 and 101,382.93

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Solution

The fourth proportional to 259,342.65, 388,858.46 and 101,382.93 is: 152,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,342.65 : 388,858.46 = 101,382.93 : x
  2. Step 2: Convert to fraction form
    259,342.65/388,858.46 = 101,382.93/x
  3. Step 3: Cross multiply
    259,342.65x = 388,858.46 × 101,382.93
  4. Step 4: Simplify right side
    259,342.65x = 39,423,609,523.17
  5. Step 5: Solve for x
    x = 39,423,609,523.17/259,342.65
  6. Step 6: Final answer
    x = 152,013.60

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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.