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Finding the Fourth Proportional to 82,813.70, 124,220.55 and 64,151.30

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Solution

The fourth proportional to 82,813.70, 124,220.55 and 64,151.30 is: 96,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.70 : 124,220.55 = 64,151.30 : x
  2. Step 2: Convert to fraction form
    82,813.70/124,220.55 = 64,151.30/x
  3. Step 3: Cross multiply
    82,813.70x = 124,220.55 × 64,151.30
  4. Step 4: Simplify right side
    82,813.70x = 7,968,909,769.22
  5. Step 5: Solve for x
    x = 7,968,909,769.22/82,813.70
  6. Step 6: Final answer
    x = 96,226.95

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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.