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Finding the Fourth Proportional to 89,098.38, 122,887.53 and 65,216.34

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Solution

The fourth proportional to 89,098.38, 122,887.53 and 65,216.34 is: 89,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,098.38 : 122,887.53 = 65,216.34 : x
  2. Step 2: Convert to fraction form
    89,098.38/122,887.53 = 65,216.34/x
  3. Step 3: Cross multiply
    89,098.38x = 122,887.53 × 65,216.34
  4. Step 4: Simplify right side
    89,098.38x = 8,014,274,938.24
  5. Step 5: Solve for x
    x = 8,014,274,938.24/89,098.38
  6. Step 6: Final answer
    x = 89,948.60

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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.