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Finding the Fourth Proportional to 97,064.10, 133,611.66 and 83,679.66

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Solution

The fourth proportional to 97,064.10, 133,611.66 and 83,679.66 is: 115,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064.10 : 133,611.66 = 83,679.66 : x
  2. Step 2: Convert to fraction form
    97,064.10/133,611.66 = 83,679.66/x
  3. Step 3: Cross multiply
    97,064.10x = 133,611.66 × 83,679.66
  4. Step 4: Simplify right side
    97,064.10x = 11,180,578,280.84
  5. Step 5: Solve for x
    x = 11,180,578,280.84/97,064.10
  6. Step 6: Final answer
    x = 115,187.57

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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.