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Finding the Fourth Proportional to 258,097.54, 386,523.36 and 155,219.01

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Solution

The fourth proportional to 258,097.54, 386,523.36 and 155,219.01 is: 232,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,097.54 : 386,523.36 = 155,219.01 : x
  2. Step 2: Convert to fraction form
    258,097.54/386,523.36 = 155,219.01/x
  3. Step 3: Cross multiply
    258,097.54x = 386,523.36 × 155,219.01
  4. Step 4: Simplify right side
    258,097.54x = 59,995,773,281.07
  5. Step 5: Solve for x
    x = 59,995,773,281.07/258,097.54
  6. Step 6: Final answer
    x = 232,453.87

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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.