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Finding the Fourth Proportional to 357,159.44, 535,723.80 and 107,834

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Solution

The fourth proportional to 357,159.44, 535,723.80 and 107,834 is: 161,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,159.44 : 535,723.80 = 107,834 : x
  2. Step 2: Convert to fraction form
    357,159.44/535,723.80 = 107,834/x
  3. Step 3: Cross multiply
    357,159.44x = 535,723.80 × 107,834
  4. Step 4: Simplify right side
    357,159.44x = 57,769,240,249.20
  5. Step 5: Solve for x
    x = 57,769,240,249.20/357,159.44
  6. Step 6: Final answer
    x = 161,746.36

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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.