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Finding the Fourth Proportional to 106,063.80, 146,353.96 and 65,762.86

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Solution

The fourth proportional to 106,063.80, 146,353.96 and 65,762.86 is: 90,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,063.80 : 146,353.96 = 65,762.86 : x
  2. Step 2: Convert to fraction form
    106,063.80/146,353.96 = 65,762.86/x
  3. Step 3: Cross multiply
    106,063.80x = 146,353.96 × 65,762.86
  4. Step 4: Simplify right side
    106,063.80x = 9,624,654,981.93
  5. Step 5: Solve for x
    x = 9,624,654,981.93/106,063.80
  6. Step 6: Final answer
    x = 90,744.01

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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.