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Finding the Fourth Proportional to 150,654.81, 207,903.05 and 82,672.93

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Solution

The fourth proportional to 150,654.81, 207,903.05 and 82,672.93 is: 114,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,654.81 : 207,903.05 = 82,672.93 : x
  2. Step 2: Convert to fraction form
    150,654.81/207,903.05 = 82,672.93/x
  3. Step 3: Cross multiply
    150,654.81x = 207,903.05 × 82,672.93
  4. Step 4: Simplify right side
    150,654.81x = 17,187,953,259.92
  5. Step 5: Solve for x
    x = 17,187,953,259.92/150,654.81
  6. Step 6: Final answer
    x = 114,088.31

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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.