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Finding the Fourth Proportional to 92,440.52, 138,690.46 and 64,097

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Solution

The fourth proportional to 92,440.52, 138,690.46 and 64,097 is: 96,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,440.52 : 138,690.46 = 64,097 : x
  2. Step 2: Convert to fraction form
    92,440.52/138,690.46 = 64,097/x
  3. Step 3: Cross multiply
    92,440.52x = 138,690.46 × 64,097
  4. Step 4: Simplify right side
    92,440.52x = 8,889,642,414.62
  5. Step 5: Solve for x
    x = 8,889,642,414.62/92,440.52
  6. Step 6: Final answer
    x = 96,166.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.