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Finding the Fourth Proportional to 205,703.30, 283,363.16 and 175,389.86

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Solution

The fourth proportional to 205,703.30, 283,363.16 and 175,389.86 is: 241,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,703.30 : 283,363.16 = 175,389.86 : x
  2. Step 2: Convert to fraction form
    205,703.30/283,363.16 = 175,389.86/x
  3. Step 3: Cross multiply
    205,703.30x = 283,363.16 × 175,389.86
  4. Step 4: Simplify right side
    205,703.30x = 49,699,024,961.56
  5. Step 5: Solve for x
    x = 49,699,024,961.56/205,703.30
  6. Step 6: Final answer
    x = 241,605.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.