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Finding the Fourth Proportional to 210,768.92, 290,728.12 and 147,083.48

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Solution

The fourth proportional to 210,768.92, 290,728.12 and 147,083.48 is: 202,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768.92 : 290,728.12 = 147,083.48 : x
  2. Step 2: Convert to fraction form
    210,768.92/290,728.12 = 147,083.48/x
  3. Step 3: Cross multiply
    210,768.92x = 290,728.12 × 147,083.48
  4. Step 4: Simplify right side
    210,768.92x = 42,761,303,623.46
  5. Step 5: Solve for x
    x = 42,761,303,623.46/210,768.92
  6. Step 6: Final answer
    x = 202,882.40

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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.