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Finding the Fourth Proportional to 276,071.84, 414,195.30 and 98,574.92

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Solution

The fourth proportional to 276,071.84, 414,195.30 and 98,574.92 is: 147,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,071.84 : 414,195.30 = 98,574.92 : x
  2. Step 2: Convert to fraction form
    276,071.84/414,195.30 = 98,574.92/x
  3. Step 3: Cross multiply
    276,071.84x = 414,195.30 × 98,574.92
  4. Step 4: Simplify right side
    276,071.84x = 40,829,268,561.88
  5. Step 5: Solve for x
    x = 40,829,268,561.88/276,071.84
  6. Step 6: Final answer
    x = 147,893.64

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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.