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Finding the Fourth Proportional to 206,751.34, 285,323.74 and 116,123.28

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Solution

The fourth proportional to 206,751.34, 285,323.74 and 116,123.28 is: 160,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,751.34 : 285,323.74 = 116,123.28 : x
  2. Step 2: Convert to fraction form
    206,751.34/285,323.74 = 116,123.28/x
  3. Step 3: Cross multiply
    206,751.34x = 285,323.74 × 116,123.28
  4. Step 4: Simplify right side
    206,751.34x = 33,132,728,550.67
  5. Step 5: Solve for x
    x = 33,132,728,550.67/206,751.34
  6. Step 6: Final answer
    x = 160,254.00

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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.