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Finding the Fourth Proportional to 105,267.44, 157,894.68 and 35,140.88

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Solution

The fourth proportional to 105,267.44, 157,894.68 and 35,140.88 is: 52,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,267.44 : 157,894.68 = 35,140.88 : x
  2. Step 2: Convert to fraction form
    105,267.44/157,894.68 = 35,140.88/x
  3. Step 3: Cross multiply
    105,267.44x = 157,894.68 × 35,140.88
  4. Step 4: Simplify right side
    105,267.44x = 5,548,558,002.52
  5. Step 5: Solve for x
    x = 5,548,558,002.52/105,267.44
  6. Step 6: Final answer
    x = 52,709.16

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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.