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Finding the Fourth Proportional to 231,630.84, 319,653.82 and 133,459.83

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Solution

The fourth proportional to 231,630.84, 319,653.82 and 133,459.83 is: 184,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,630.84 : 319,653.82 = 133,459.83 : x
  2. Step 2: Convert to fraction form
    231,630.84/319,653.82 = 133,459.83/x
  3. Step 3: Cross multiply
    231,630.84x = 319,653.82 × 133,459.83
  4. Step 4: Simplify right side
    231,630.84x = 42,660,944,642.88
  5. Step 5: Solve for x
    x = 42,660,944,642.88/231,630.84
  6. Step 6: Final answer
    x = 184,176.44

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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.