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Finding the Fourth Proportional to 284,109.95, 392,071.46 and 182,135.32

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Solution

The fourth proportional to 284,109.95, 392,071.46 and 182,135.32 is: 251,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,109.95 : 392,071.46 = 182,135.32 : x
  2. Step 2: Convert to fraction form
    284,109.95/392,071.46 = 182,135.32/x
  3. Step 3: Cross multiply
    284,109.95x = 392,071.46 × 182,135.32
  4. Step 4: Simplify right side
    284,109.95x = 71,410,058,939.11
  5. Step 5: Solve for x
    x = 71,410,058,939.11/284,109.95
  6. Step 6: Final answer
    x = 251,346.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.