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Finding the Fourth Proportional to 296,899.37, 409,726.37 and 160,937.83

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Solution

The fourth proportional to 296,899.37, 409,726.37 and 160,937.83 is: 222,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,899.37 : 409,726.37 = 160,937.83 : x
  2. Step 2: Convert to fraction form
    296,899.37/409,726.37 = 160,937.83/x
  3. Step 3: Cross multiply
    296,899.37x = 409,726.37 × 160,937.83
  4. Step 4: Simplify right side
    296,899.37x = 65,940,472,259.61
  5. Step 5: Solve for x
    x = 65,940,472,259.61/296,899.37
  6. Step 6: Final answer
    x = 222,097.05

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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.