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Finding the Fourth Proportional to 116,194, 160,347.72 and 63,202

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Solution

The fourth proportional to 116,194, 160,347.72 and 63,202 is: 87,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,194 : 160,347.72 = 63,202 : x
  2. Step 2: Convert to fraction form
    116,194/160,347.72 = 63,202/x
  3. Step 3: Cross multiply
    116,194x = 160,347.72 × 63,202
  4. Step 4: Simplify right side
    116,194x = 10,134,296,599.44
  5. Step 5: Solve for x
    x = 10,134,296,599.44/116,194
  6. Step 6: Final answer
    x = 87,218.76

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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.