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Finding the Fourth Proportional to 117,412.58, 162,029.42 and 63,697.58

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Solution

The fourth proportional to 117,412.58, 162,029.42 and 63,697.58 is: 87,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,412.58 : 162,029.42 = 63,697.58 : x
  2. Step 2: Convert to fraction form
    117,412.58/162,029.42 = 63,697.58/x
  3. Step 3: Cross multiply
    117,412.58x = 162,029.42 × 63,697.58
  4. Step 4: Simplify right side
    117,412.58x = 10,320,881,937.20
  5. Step 5: Solve for x
    x = 10,320,881,937.20/117,412.58
  6. Step 6: Final answer
    x = 87,902.69

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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.