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Finding the Fourth Proportional to 207,810.38, 286,772.59 and 117,165.55

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Solution

The fourth proportional to 207,810.38, 286,772.59 and 117,165.55 is: 161,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,810.38 : 286,772.59 = 117,165.55 : x
  2. Step 2: Convert to fraction form
    207,810.38/286,772.59 = 117,165.55/x
  3. Step 3: Cross multiply
    207,810.38x = 286,772.59 × 117,165.55
  4. Step 4: Simplify right side
    207,810.38x = 33,599,867,646.45
  5. Step 5: Solve for x
    x = 33,599,867,646.45/207,810.38
  6. Step 6: Final answer
    x = 161,685.23

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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.