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Finding the Fourth Proportional to 98,223, 147,338.14 and 31,664.08

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Solution

The fourth proportional to 98,223, 147,338.14 and 31,664.08 is: 47,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,223 : 147,338.14 = 31,664.08 : x
  2. Step 2: Convert to fraction form
    98,223/147,338.14 = 31,664.08/x
  3. Step 3: Cross multiply
    98,223x = 147,338.14 × 31,664.08
  4. Step 4: Simplify right side
    98,223x = 4,665,326,652.01
  5. Step 5: Solve for x
    x = 4,665,326,652.01/98,223
  6. Step 6: Final answer
    x = 47,497.29

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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.