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Finding the Fourth Proportional to 206,661.98, 285,210.01 and 116,023.89

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Solution

The fourth proportional to 206,661.98, 285,210.01 and 116,023.89 is: 160,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,661.98 : 285,210.01 = 116,023.89 : x
  2. Step 2: Convert to fraction form
    206,661.98/285,210.01 = 116,023.89/x
  3. Step 3: Cross multiply
    206,661.98x = 285,210.01 × 116,023.89
  4. Step 4: Simplify right side
    206,661.98x = 33,091,176,041.71
  5. Step 5: Solve for x
    x = 33,091,176,041.71/206,661.98
  6. Step 6: Final answer
    x = 160,122.22

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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.