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Finding the Fourth Proportional to 105,872.77, 158,047.59 and 90,716.69

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Solution

The fourth proportional to 105,872.77, 158,047.59 and 90,716.69 is: 135,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,872.77 : 158,047.59 = 90,716.69 : x
  2. Step 2: Convert to fraction form
    105,872.77/158,047.59 = 90,716.69/x
  3. Step 3: Cross multiply
    105,872.77x = 158,047.59 × 90,716.69
  4. Step 4: Simplify right side
    105,872.77x = 14,337,553,663.83
  5. Step 5: Solve for x
    x = 14,337,553,663.83/105,872.77
  6. Step 6: Final answer
    x = 135,422.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.