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Finding the Fourth Proportional to 238,328.15, 357,697.24 and 138,349.44

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Solution

The fourth proportional to 238,328.15, 357,697.24 and 138,349.44 is: 207,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,328.15 : 357,697.24 = 138,349.44 : x
  2. Step 2: Convert to fraction form
    238,328.15/357,697.24 = 138,349.44/x
  3. Step 3: Cross multiply
    238,328.15x = 357,697.24 × 138,349.44
  4. Step 4: Simplify right side
    238,328.15x = 49,487,212,497.67
  5. Step 5: Solve for x
    x = 49,487,212,497.67/238,328.15
  6. Step 6: Final answer
    x = 207,643.17

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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.