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Finding the Fourth Proportional to 150,714, 207,985.32 and 83,646

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Solution

The fourth proportional to 150,714, 207,985.32 and 83,646 is: 115,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714 : 207,985.32 = 83,646 : x
  2. Step 2: Convert to fraction form
    150,714/207,985.32 = 83,646/x
  3. Step 3: Cross multiply
    150,714x = 207,985.32 × 83,646
  4. Step 4: Simplify right side
    150,714x = 17,397,140,076.72
  5. Step 5: Solve for x
    x = 17,397,140,076.72/150,714
  6. Step 6: Final answer
    x = 115,431.48

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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.