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Finding the Fourth Proportional to 207,340.39, 286,138.94 and 116,702.22

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Solution

The fourth proportional to 207,340.39, 286,138.94 and 116,702.22 is: 161,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,340.39 : 286,138.94 = 116,702.22 : x
  2. Step 2: Convert to fraction form
    207,340.39/286,138.94 = 116,702.22/x
  3. Step 3: Cross multiply
    207,340.39x = 286,138.94 × 116,702.22
  4. Step 4: Simplify right side
    207,340.39x = 33,393,049,526.45
  5. Step 5: Solve for x
    x = 33,393,049,526.45/207,340.39
  6. Step 6: Final answer
    x = 161,054.24

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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.