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Finding the Fourth Proportional to 308,710.09, 463,148.25 and 158,868.73

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Solution

The fourth proportional to 308,710.09, 463,148.25 and 158,868.73 is: 238,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,710.09 : 463,148.25 = 158,868.73 : x
  2. Step 2: Convert to fraction form
    308,710.09/463,148.25 = 158,868.73/x
  3. Step 3: Cross multiply
    308,710.09x = 463,148.25 × 158,868.73
  4. Step 4: Simplify right side
    308,710.09x = 73,579,771,963.48
  5. Step 5: Solve for x
    x = 73,579,771,963.48/308,710.09
  6. Step 6: Final answer
    x = 238,345.86

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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.