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Finding the Fourth Proportional to 276,335, 381,342.30 and 157,103

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Solution

The fourth proportional to 276,335, 381,342.30 and 157,103 is: 216,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,335 : 381,342.30 = 157,103 : x
  2. Step 2: Convert to fraction form
    276,335/381,342.30 = 157,103/x
  3. Step 3: Cross multiply
    276,335x = 381,342.30 × 157,103
  4. Step 4: Simplify right side
    276,335x = 59,910,019,356.90
  5. Step 5: Solve for x
    x = 59,910,019,356.90/276,335
  6. Step 6: Final answer
    x = 216,802.14

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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.