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Finding the Fourth Proportional to 178,066.48, 267,058.26 and 83,362

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Solution

The fourth proportional to 178,066.48, 267,058.26 and 83,362 is: 125,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,066.48 : 267,058.26 = 83,362 : x
  2. Step 2: Convert to fraction form
    178,066.48/267,058.26 = 83,362/x
  3. Step 3: Cross multiply
    178,066.48x = 267,058.26 × 83,362
  4. Step 4: Simplify right side
    178,066.48x = 22,262,510,670.12
  5. Step 5: Solve for x
    x = 22,262,510,670.12/178,066.48
  6. Step 6: Final answer
    x = 125,023.59

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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.