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Finding the Fourth Proportional to 254,537.60, 381,806.40 and 161,148.80

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Solution

The fourth proportional to 254,537.60, 381,806.40 and 161,148.80 is: 241,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,537.60 : 381,806.40 = 161,148.80 : x
  2. Step 2: Convert to fraction form
    254,537.60/381,806.40 = 161,148.80/x
  3. Step 3: Cross multiply
    254,537.60x = 381,806.40 × 161,148.80
  4. Step 4: Simplify right side
    254,537.60x = 61,527,643,192.32
  5. Step 5: Solve for x
    x = 61,527,643,192.32/254,537.60
  6. Step 6: Final answer
    x = 241,723.20

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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.