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Finding the Fourth Proportional to 227,805.24, 314,374.62 and 132,312

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Solution

The fourth proportional to 227,805.24, 314,374.62 and 132,312 is: 182,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,805.24 : 314,374.62 = 132,312 : x
  2. Step 2: Convert to fraction form
    227,805.24/314,374.62 = 132,312/x
  3. Step 3: Cross multiply
    227,805.24x = 314,374.62 × 132,312
  4. Step 4: Simplify right side
    227,805.24x = 41,595,534,721.44
  5. Step 5: Solve for x
    x = 41,595,534,721.44/227,805.24
  6. Step 6: Final answer
    x = 182,592.53

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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.