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Finding the Fourth Proportional to 276,070.84, 414,193.80 and 98,573.92

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Solution

The fourth proportional to 276,070.84, 414,193.80 and 98,573.92 is: 147,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,070.84 : 414,193.80 = 98,573.92 : x
  2. Step 2: Convert to fraction form
    276,070.84/414,193.80 = 98,573.92/x
  3. Step 3: Cross multiply
    276,070.84x = 414,193.80 × 98,573.92
  4. Step 4: Simplify right side
    276,070.84x = 40,828,706,505.70
  5. Step 5: Solve for x
    x = 40,828,706,505.70/276,070.84
  6. Step 6: Final answer
    x = 147,892.14

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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.