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Finding the Fourth Proportional to 195,020.34, 292,541.40 and 54,768

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Solution

The fourth proportional to 195,020.34, 292,541.40 and 54,768 is: 82,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,020.34 : 292,541.40 = 54,768 : x
  2. Step 2: Convert to fraction form
    195,020.34/292,541.40 = 54,768/x
  3. Step 3: Cross multiply
    195,020.34x = 292,541.40 × 54,768
  4. Step 4: Simplify right side
    195,020.34x = 16,021,907,395.20
  5. Step 5: Solve for x
    x = 16,021,907,395.20/195,020.34
  6. Step 6: Final answer
    x = 82,155.06

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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.