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Finding the Fourth Proportional to 230,474.08, 345,711.04 and 55,370.08

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Solution

The fourth proportional to 230,474.08, 345,711.04 and 55,370.08 is: 83,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,474.08 : 345,711.04 = 55,370.08 : x
  2. Step 2: Convert to fraction form
    230,474.08/345,711.04 = 55,370.08/x
  3. Step 3: Cross multiply
    230,474.08x = 345,711.04 × 55,370.08
  4. Step 4: Simplify right side
    230,474.08x = 19,142,047,941.68
  5. Step 5: Solve for x
    x = 19,142,047,941.68/230,474.08
  6. Step 6: Final answer
    x = 83,055.10

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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.