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Finding the Fourth Proportional to 308,321.71, 462,144.76 and 158,569.92

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Solution

The fourth proportional to 308,321.71, 462,144.76 and 158,569.92 is: 237,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,321.71 : 462,144.76 = 158,569.92 : x
  2. Step 2: Convert to fraction form
    308,321.71/462,144.76 = 158,569.92/x
  3. Step 3: Cross multiply
    308,321.71x = 462,144.76 × 158,569.92
  4. Step 4: Simplify right side
    308,321.71x = 73,282,257,225.19
  5. Step 5: Solve for x
    x = 73,282,257,225.19/308,321.71
  6. Step 6: Final answer
    x = 237,681.15

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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.