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Finding the Fourth Proportional to 119,309.94, 164,647.83 and 65,595.87

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Solution

The fourth proportional to 119,309.94, 164,647.83 and 65,595.87 is: 90,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309.94 : 164,647.83 = 65,595.87 : x
  2. Step 2: Convert to fraction form
    119,309.94/164,647.83 = 65,595.87/x
  3. Step 3: Cross multiply
    119,309.94x = 164,647.83 × 65,595.87
  4. Step 4: Simplify right side
    119,309.94x = 10,800,217,652.46
  5. Step 5: Solve for x
    x = 10,800,217,652.46/119,309.94
  6. Step 6: Final answer
    x = 90,522.36

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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.