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Finding the Fourth Proportional to 233,778, 322,613.64 and 133,176

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Solution

The fourth proportional to 233,778, 322,613.64 and 133,176 is: 183,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778 : 322,613.64 = 133,176 : x
  2. Step 2: Convert to fraction form
    233,778/322,613.64 = 133,176/x
  3. Step 3: Cross multiply
    233,778x = 322,613.64 × 133,176
  4. Step 4: Simplify right side
    233,778x = 42,964,394,120.64
  5. Step 5: Solve for x
    x = 42,964,394,120.64/233,778
  6. Step 6: Final answer
    x = 183,782.88

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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.