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Finding the Fourth Proportional to 208,433, 312,613.34 and 58,637.80

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Solution

The fourth proportional to 208,433, 312,613.34 and 58,637.80 is: 87,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,433 : 312,613.34 = 58,637.80 : x
  2. Step 2: Convert to fraction form
    208,433/312,613.34 = 58,637.80/x
  3. Step 3: Cross multiply
    208,433x = 312,613.34 × 58,637.80
  4. Step 4: Simplify right side
    208,433x = 18,330,958,508.25
  5. Step 5: Solve for x
    x = 18,330,958,508.25/208,433
  6. Step 6: Final answer
    x = 87,946.53

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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.