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Finding the Fourth Proportional to 258,084.74, 356,185.65 and 150,681.38

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Solution

The fourth proportional to 258,084.74, 356,185.65 and 150,681.38 is: 207,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,084.74 : 356,185.65 = 150,681.38 : x
  2. Step 2: Convert to fraction form
    258,084.74/356,185.65 = 150,681.38/x
  3. Step 3: Cross multiply
    258,084.74x = 356,185.65 × 150,681.38
  4. Step 4: Simplify right side
    258,084.74x = 53,670,545,278.20
  5. Step 5: Solve for x
    x = 53,670,545,278.20/258,084.74
  6. Step 6: Final answer
    x = 207,957.07

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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.