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Finding the Fourth Proportional to 119,242.82, 164,551.66 and 65,527.77

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Solution

The fourth proportional to 119,242.82, 164,551.66 and 65,527.77 is: 90,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,242.82 : 164,551.66 = 65,527.77 : x
  2. Step 2: Convert to fraction form
    119,242.82/164,551.66 = 65,527.77/x
  3. Step 3: Cross multiply
    119,242.82x = 164,551.66 × 65,527.77
  4. Step 4: Simplify right side
    119,242.82x = 10,782,703,329.60
  5. Step 5: Solve for x
    x = 10,782,703,329.60/119,242.82
  6. Step 6: Final answer
    x = 90,426.44

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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.