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Finding the Fourth Proportional to 276,346, 381,357.48 and 157,114

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Solution

The fourth proportional to 276,346, 381,357.48 and 157,114 is: 216,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,346 : 381,357.48 = 157,114 : x
  2. Step 2: Convert to fraction form
    276,346/381,357.48 = 157,114/x
  3. Step 3: Cross multiply
    276,346x = 381,357.48 × 157,114
  4. Step 4: Simplify right side
    276,346x = 59,916,599,112.72
  5. Step 5: Solve for x
    x = 59,916,599,112.72/276,346
  6. Step 6: Final answer
    x = 216,817.32

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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.