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Finding the Fourth Proportional to 105,891.84, 158,604.48 and 70,666.56

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Solution

The fourth proportional to 105,891.84, 158,604.48 and 70,666.56 is: 105,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,891.84 : 158,604.48 = 70,666.56 : x
  2. Step 2: Convert to fraction form
    105,891.84/158,604.48 = 70,666.56/x
  3. Step 3: Cross multiply
    105,891.84x = 158,604.48 × 70,666.56
  4. Step 4: Simplify right side
    105,891.84x = 11,208,033,002.19
  5. Step 5: Solve for x
    x = 11,208,033,002.19/105,891.84
  6. Step 6: Final answer
    x = 105,844.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.