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Finding the Fourth Proportional to 106,143.12, 146,416.68 and 66,330

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Solution

The fourth proportional to 106,143.12, 146,416.68 and 66,330 is: 91,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143.12 : 146,416.68 = 66,330 : x
  2. Step 2: Convert to fraction form
    106,143.12/146,416.68 = 66,330/x
  3. Step 3: Cross multiply
    106,143.12x = 146,416.68 × 66,330
  4. Step 4: Simplify right side
    106,143.12x = 9,711,818,384.40
  5. Step 5: Solve for x
    x = 9,711,818,384.40/106,143.12
  6. Step 6: Final answer
    x = 91,497.39

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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.