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Finding the Fourth Proportional to 207,488.16, 286,310.16 and 116,837.28

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Solution

The fourth proportional to 207,488.16, 286,310.16 and 116,837.28 is: 161,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,488.16 : 286,310.16 = 116,837.28 : x
  2. Step 2: Convert to fraction form
    207,488.16/286,310.16 = 116,837.28/x
  3. Step 3: Cross multiply
    207,488.16x = 286,310.16 × 116,837.28
  4. Step 4: Simplify right side
    207,488.16x = 33,451,700,330.76
  5. Step 5: Solve for x
    x = 33,451,700,330.76/207,488.16
  6. Step 6: Final answer
    x = 161,222.21

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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.