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Finding the Fourth Proportional to 231,697.76, 319,577.79 and 212,639.07

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Solution

The fourth proportional to 231,697.76, 319,577.79 and 212,639.07 is: 293,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,697.76 : 319,577.79 = 212,639.07 : x
  2. Step 2: Convert to fraction form
    231,697.76/319,577.79 = 212,639.07/x
  3. Step 3: Cross multiply
    231,697.76x = 319,577.79 × 212,639.07
  4. Step 4: Simplify right side
    231,697.76x = 67,954,724,058.26
  5. Step 5: Solve for x
    x = 67,954,724,058.26/231,697.76
  6. Step 6: Final answer
    x = 293,290.39

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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.