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Finding the Fourth Proportional to 97,099.66, 145,649.49 and 55,517.50

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Solution

The fourth proportional to 97,099.66, 145,649.49 and 55,517.50 is: 83,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.66 : 145,649.49 = 55,517.50 : x
  2. Step 2: Convert to fraction form
    97,099.66/145,649.49 = 55,517.50/x
  3. Step 3: Cross multiply
    97,099.66x = 145,649.49 × 55,517.50
  4. Step 4: Simplify right side
    97,099.66x = 8,086,095,561.08
  5. Step 5: Solve for x
    x = 8,086,095,561.08/97,099.66
  6. Step 6: Final answer
    x = 83,276.25

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Why These Related Problems?

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