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Finding the Fourth Proportional to 147,974.32, 222,019.80 and 64,810

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Solution

The fourth proportional to 147,974.32, 222,019.80 and 64,810 is: 97,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,974.32 : 222,019.80 = 64,810 : x
  2. Step 2: Convert to fraction form
    147,974.32/222,019.80 = 64,810/x
  3. Step 3: Cross multiply
    147,974.32x = 222,019.80 × 64,810
  4. Step 4: Simplify right side
    147,974.32x = 14,389,103,238
  5. Step 5: Solve for x
    x = 14,389,103,238/147,974.32
  6. Step 6: Final answer
    x = 97,240.54

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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.