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Finding the Fourth Proportional to 119,313.83, 164,648.88 and 65,598.43

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Solution

The fourth proportional to 119,313.83, 164,648.88 and 65,598.43 is: 90,523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,313.83 : 164,648.88 = 65,598.43 : x
  2. Step 2: Convert to fraction form
    119,313.83/164,648.88 = 65,598.43/x
  3. Step 3: Cross multiply
    119,313.83x = 164,648.88 × 65,598.43
  4. Step 4: Simplify right side
    119,313.83x = 10,800,708,029.26
  5. Step 5: Solve for x
    x = 10,800,708,029.26/119,313.83
  6. Step 6: Final answer
    x = 90,523.52

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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.