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Finding the Fourth Proportional to 182,507.76, 251,844.32 and 101,924.10

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Solution

The fourth proportional to 182,507.76, 251,844.32 and 101,924.10 is: 140,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,507.76 : 251,844.32 = 101,924.10 : x
  2. Step 2: Convert to fraction form
    182,507.76/251,844.32 = 101,924.10/x
  3. Step 3: Cross multiply
    182,507.76x = 251,844.32 × 101,924.10
  4. Step 4: Simplify right side
    182,507.76x = 25,669,005,656.11
  5. Step 5: Solve for x
    x = 25,669,005,656.11/182,507.76
  6. Step 6: Final answer
    x = 140,646.11

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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.