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Finding the Fourth Proportional to 209,562.77, 314,341.09 and 51,791.24

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Solution

The fourth proportional to 209,562.77, 314,341.09 and 51,791.24 is: 77,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,562.77 : 314,341.09 = 51,791.24 : x
  2. Step 2: Convert to fraction form
    209,562.77/314,341.09 = 51,791.24/x
  3. Step 3: Cross multiply
    209,562.77x = 314,341.09 × 51,791.24
  4. Step 4: Simplify right side
    209,562.77x = 16,280,114,834.05
  5. Step 5: Solve for x
    x = 16,280,114,834.05/209,562.77
  6. Step 6: Final answer
    x = 77,686.10

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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.