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Finding the Fourth Proportional to 308,582.50, 462,754.10 and 106,140.11

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Solution

The fourth proportional to 308,582.50, 462,754.10 and 106,140.11 is: 159,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,582.50 : 462,754.10 = 106,140.11 : x
  2. Step 2: Convert to fraction form
    308,582.50/462,754.10 = 106,140.11/x
  3. Step 3: Cross multiply
    308,582.50x = 462,754.10 × 106,140.11
  4. Step 4: Simplify right side
    308,582.50x = 49,116,771,076.95
  5. Step 5: Solve for x
    x = 49,116,771,076.95/308,582.50
  6. Step 6: Final answer
    x = 159,169.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.