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Finding the Fourth Proportional to 342,177.32, 472,185.48 and 189,206.60

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Solution

The fourth proportional to 342,177.32, 472,185.48 and 189,206.60 is: 261,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,177.32 : 472,185.48 = 189,206.60 : x
  2. Step 2: Convert to fraction form
    342,177.32/472,185.48 = 189,206.60/x
  3. Step 3: Cross multiply
    342,177.32x = 472,185.48 × 189,206.60
  4. Step 4: Simplify right side
    342,177.32x = 89,340,609,240.17
  5. Step 5: Solve for x
    x = 89,340,609,240.17/342,177.32
  6. Step 6: Final answer
    x = 261,094.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.