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Finding the Fourth Proportional to 246,806.16, 370,274.84 and 78,331

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Solution

The fourth proportional to 246,806.16, 370,274.84 and 78,331 is: 117,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,806.16 : 370,274.84 = 78,331 : x
  2. Step 2: Convert to fraction form
    246,806.16/370,274.84 = 78,331/x
  3. Step 3: Cross multiply
    246,806.16x = 370,274.84 × 78,331
  4. Step 4: Simplify right side
    246,806.16x = 29,003,998,492.04
  5. Step 5: Solve for x
    x = 29,003,998,492.04/246,806.16
  6. Step 6: Final answer
    x = 117,517.32

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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.