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Finding the Fourth Proportional to 117,905.46, 162,712.46 and 64,193.42

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Solution

The fourth proportional to 117,905.46, 162,712.46 and 64,193.42 is: 88,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,905.46 : 162,712.46 = 64,193.42 : x
  2. Step 2: Convert to fraction form
    117,905.46/162,712.46 = 64,193.42/x
  3. Step 3: Cross multiply
    117,905.46x = 162,712.46 × 64,193.42
  4. Step 4: Simplify right side
    117,905.46x = 10,445,069,284.01
  5. Step 5: Solve for x
    x = 10,445,069,284.01/117,905.46
  6. Step 6: Final answer
    x = 88,588.51

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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.