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Finding the Fourth Proportional to 342,902.61, 473,189.16 and 189,930.48

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Solution

The fourth proportional to 342,902.61, 473,189.16 and 189,930.48 is: 262,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,902.61 : 473,189.16 = 189,930.48 : x
  2. Step 2: Convert to fraction form
    342,902.61/473,189.16 = 189,930.48/x
  3. Step 3: Cross multiply
    342,902.61x = 473,189.16 × 189,930.48
  4. Step 4: Simplify right side
    342,902.61x = 89,873,044,289.60
  5. Step 5: Solve for x
    x = 89,873,044,289.60/342,902.61
  6. Step 6: Final answer
    x = 262,094.96

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Why These Related Problems?

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