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Finding the Fourth Proportional to 175,164.34, 241,739.04 and 99,712.84

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Solution

The fourth proportional to 175,164.34, 241,739.04 and 99,712.84 is: 137,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,164.34 : 241,739.04 = 99,712.84 : x
  2. Step 2: Convert to fraction form
    175,164.34/241,739.04 = 99,712.84/x
  3. Step 3: Cross multiply
    175,164.34x = 241,739.04 × 99,712.84
  4. Step 4: Simplify right side
    175,164.34x = 24,104,486,217.27
  5. Step 5: Solve for x
    x = 24,104,486,217.27/175,164.34
  6. Step 6: Final answer
    x = 137,610.69

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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.