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Finding the Fourth Proportional to 132,714, 183,145.32 and 73,098

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Solution

The fourth proportional to 132,714, 183,145.32 and 73,098 is: 100,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,714 : 183,145.32 = 73,098 : x
  2. Step 2: Convert to fraction form
    132,714/183,145.32 = 73,098/x
  3. Step 3: Cross multiply
    132,714x = 183,145.32 × 73,098
  4. Step 4: Simplify right side
    132,714x = 13,387,556,601.36
  5. Step 5: Solve for x
    x = 13,387,556,601.36/132,714
  6. Step 6: Final answer
    x = 100,875.24

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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.