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Finding the Fourth Proportional to 207,341, 286,165.14 and 156,952.52

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Solution

The fourth proportional to 207,341, 286,165.14 and 156,952.52 is: 216,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,341 : 286,165.14 = 156,952.52 : x
  2. Step 2: Convert to fraction form
    207,341/286,165.14 = 156,952.52/x
  3. Step 3: Cross multiply
    207,341x = 286,165.14 × 156,952.52
  4. Step 4: Simplify right side
    207,341x = 44,914,339,859.15
  5. Step 5: Solve for x
    x = 44,914,339,859.15/207,341
  6. Step 6: Final answer
    x = 216,620.64

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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.