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Finding the Fourth Proportional to 207,829.84, 286,616.88 and 136,183.84

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Solution

The fourth proportional to 207,829.84, 286,616.88 and 136,183.84 is: 187,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829.84 : 286,616.88 = 136,183.84 : x
  2. Step 2: Convert to fraction form
    207,829.84/286,616.88 = 136,183.84/x
  3. Step 3: Cross multiply
    207,829.84x = 286,616.88 × 136,183.84
  4. Step 4: Simplify right side
    207,829.84x = 39,032,587,327.22
  5. Step 5: Solve for x
    x = 39,032,587,327.22/207,829.84
  6. Step 6: Final answer
    x = 187,810.31

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