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Finding the Fourth Proportional to 251,274.16, 346,754.24 and 138,094.48

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Solution

The fourth proportional to 251,274.16, 346,754.24 and 138,094.48 is: 190,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,274.16 : 346,754.24 = 138,094.48 : x
  2. Step 2: Convert to fraction form
    251,274.16/346,754.24 = 138,094.48/x
  3. Step 3: Cross multiply
    251,274.16x = 346,754.24 × 138,094.48
  4. Step 4: Simplify right side
    251,274.16x = 47,884,846,460.60
  5. Step 5: Solve for x
    x = 47,884,846,460.60/251,274.16
  6. Step 6: Final answer
    x = 190,568.13

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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.