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Finding the Fourth Proportional to 119,477.91, 164,878.20 and 65,761.77

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Solution

The fourth proportional to 119,477.91, 164,878.20 and 65,761.77 is: 90,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,477.91 : 164,878.20 = 65,761.77 : x
  2. Step 2: Convert to fraction form
    119,477.91/164,878.20 = 65,761.77/x
  3. Step 3: Cross multiply
    119,477.91x = 164,878.20 × 65,761.77
  4. Step 4: Simplify right side
    119,477.91x = 10,842,682,266.41
  5. Step 5: Solve for x
    x = 10,842,682,266.41/119,477.91
  6. Step 6: Final answer
    x = 90,750.52

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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.