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Finding the Fourth Proportional to 117,946.18, 162,768.64 and 64,234.11

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Solution

The fourth proportional to 117,946.18, 162,768.64 and 64,234.11 is: 88,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,946.18 : 162,768.64 = 64,234.11 : x
  2. Step 2: Convert to fraction form
    117,946.18/162,768.64 = 64,234.11/x
  3. Step 3: Cross multiply
    117,946.18x = 162,768.64 × 64,234.11
  4. Step 4: Simplify right side
    117,946.18x = 10,455,299,296.55
  5. Step 5: Solve for x
    x = 10,455,299,296.55/117,946.18
  6. Step 6: Final answer
    x = 88,644.67

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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.