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Finding the Fourth Proportional to 276,199.84, 381,152.40 and 156,960.16

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Solution

The fourth proportional to 276,199.84, 381,152.40 and 156,960.16 is: 216,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,199.84 : 381,152.40 = 156,960.16 : x
  2. Step 2: Convert to fraction form
    276,199.84/381,152.40 = 156,960.16/x
  3. Step 3: Cross multiply
    276,199.84x = 381,152.40 × 156,960.16
  4. Step 4: Simplify right side
    276,199.84x = 59,825,741,688.38
  5. Step 5: Solve for x
    x = 59,825,741,688.38/276,199.84
  6. Step 6: Final answer
    x = 216,603.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.