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Finding the Fourth Proportional to 82,904.70, 124,092.45 and 65,408.70

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Solution

The fourth proportional to 82,904.70, 124,092.45 and 65,408.70 is: 97,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,904.70 : 124,092.45 = 65,408.70 : x
  2. Step 2: Convert to fraction form
    82,904.70/124,092.45 = 65,408.70/x
  3. Step 3: Cross multiply
    82,904.70x = 124,092.45 × 65,408.70
  4. Step 4: Simplify right side
    82,904.70x = 8,116,725,834.32
  5. Step 5: Solve for x
    x = 8,116,725,834.32/82,904.70
  6. Step 6: Final answer
    x = 97,904.29

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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.