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Finding the Fourth Proportional to 276,072.84, 414,196.74 and 98,575.92

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Solution

The fourth proportional to 276,072.84, 414,196.74 and 98,575.92 is: 147,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,072.84 : 414,196.74 = 98,575.92 : x
  2. Step 2: Convert to fraction form
    276,072.84/414,196.74 = 98,575.92/x
  3. Step 3: Cross multiply
    276,072.84x = 414,196.74 × 98,575.92
  4. Step 4: Simplify right side
    276,072.84x = 40,829,824,706.50
  5. Step 5: Solve for x
    x = 40,829,824,706.50/276,072.84
  6. Step 6: Final answer
    x = 147,895.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.