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Finding the Fourth Proportional to 105,583.92, 145,650.57 and 65,284.80

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Solution

The fourth proportional to 105,583.92, 145,650.57 and 65,284.80 is: 90,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,583.92 : 145,650.57 = 65,284.80 : x
  2. Step 2: Convert to fraction form
    105,583.92/145,650.57 = 65,284.80/x
  3. Step 3: Cross multiply
    105,583.92x = 145,650.57 × 65,284.80
  4. Step 4: Simplify right side
    105,583.92x = 9,508,768,332.34
  5. Step 5: Solve for x
    x = 9,508,768,332.34/105,583.92
  6. Step 6: Final answer
    x = 90,058.87

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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.