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Finding the Fourth Proportional to 209,807.10, 314,346.15 and 189,249.30

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Solution

The fourth proportional to 209,807.10, 314,346.15 and 189,249.30 is: 283,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.10 : 314,346.15 = 189,249.30 : x
  2. Step 2: Convert to fraction form
    209,807.10/314,346.15 = 189,249.30/x
  3. Step 3: Cross multiply
    209,807.10x = 314,346.15 × 189,249.30
  4. Step 4: Simplify right side
    209,807.10x = 59,489,788,845.20
  5. Step 5: Solve for x
    x = 59,489,788,845.20/209,807.10
  6. Step 6: Final answer
    x = 283,545.17

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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.