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Finding the Fourth Proportional to 114,058, 171,096.56 and 42,030.52

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Solution

The fourth proportional to 114,058, 171,096.56 and 42,030.52 is: 63,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,058 : 171,096.56 = 42,030.52 : x
  2. Step 2: Convert to fraction form
    114,058/171,096.56 = 42,030.52/x
  3. Step 3: Cross multiply
    114,058x = 171,096.56 × 42,030.52
  4. Step 4: Simplify right side
    114,058x = 7,191,277,387.01
  5. Step 5: Solve for x
    x = 7,191,277,387.01/114,058
  6. Step 6: Final answer
    x = 63,049.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.