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Finding the Fourth Proportional to 209,256.66, 313,837.70 and 59,493.66

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Solution

The fourth proportional to 209,256.66, 313,837.70 and 59,493.66 is: 89,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,256.66 : 313,837.70 = 59,493.66 : x
  2. Step 2: Convert to fraction form
    209,256.66/313,837.70 = 59,493.66/x
  3. Step 3: Cross multiply
    209,256.66x = 313,837.70 × 59,493.66
  4. Step 4: Simplify right side
    209,256.66x = 18,671,353,418.98
  5. Step 5: Solve for x
    x = 18,671,353,418.98/209,256.66
  6. Step 6: Final answer
    x = 89,227.05

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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.