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Finding the Fourth Proportional to 150,691, 207,963.32 and 83,623

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Solution

The fourth proportional to 150,691, 207,963.32 and 83,623 is: 115,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,691 : 207,963.32 = 83,623 : x
  2. Step 2: Convert to fraction form
    150,691/207,963.32 = 83,623/x
  3. Step 3: Cross multiply
    150,691x = 207,963.32 × 83,623
  4. Step 4: Simplify right side
    150,691x = 17,390,516,708.36
  5. Step 5: Solve for x
    x = 17,390,516,708.36/150,691
  6. Step 6: Final answer
    x = 115,405.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.