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Finding the Fourth Proportional to 308,303.30, 462,448.38 and 142,091.30

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Solution

The fourth proportional to 308,303.30, 462,448.38 and 142,091.30 is: 213,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,303.30 : 462,448.38 = 142,091.30 : x
  2. Step 2: Convert to fraction form
    308,303.30/462,448.38 = 142,091.30/x
  3. Step 3: Cross multiply
    308,303.30x = 462,448.38 × 142,091.30
  4. Step 4: Simplify right side
    308,303.30x = 65,709,891,497.09
  5. Step 5: Solve for x
    x = 65,709,891,497.09/308,303.30
  6. Step 6: Final answer
    x = 213,133.92

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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.