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Finding the Fourth Proportional to 209,957.82, 314,872.13 and 60,157.98

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Solution

The fourth proportional to 209,957.82, 314,872.13 and 60,157.98 is: 90,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.82 : 314,872.13 = 60,157.98 : x
  2. Step 2: Convert to fraction form
    209,957.82/314,872.13 = 60,157.98/x
  3. Step 3: Cross multiply
    209,957.82x = 314,872.13 × 60,157.98
  4. Step 4: Simplify right side
    209,957.82x = 18,942,070,998.31
  5. Step 5: Solve for x
    x = 18,942,070,998.31/209,957.82
  6. Step 6: Final answer
    x = 90,218.46

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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.