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Finding the Fourth Proportional to 97,718.70, 146,578.05 and 85,665.90

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Solution

The fourth proportional to 97,718.70, 146,578.05 and 85,665.90 is: 128,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,718.70 : 146,578.05 = 85,665.90 : x
  2. Step 2: Convert to fraction form
    97,718.70/146,578.05 = 85,665.90/x
  3. Step 3: Cross multiply
    97,718.70x = 146,578.05 × 85,665.90
  4. Step 4: Simplify right side
    97,718.70x = 12,556,740,573.50
  5. Step 5: Solve for x
    x = 12,556,740,573.50/97,718.70
  6. Step 6: Final answer
    x = 128,498.85

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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.