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Finding the Fourth Proportional to 102,044.16, 140,820.03 and 56,721

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Solution

The fourth proportional to 102,044.16, 140,820.03 and 56,721 is: 78,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,044.16 : 140,820.03 = 56,721 : x
  2. Step 2: Convert to fraction form
    102,044.16/140,820.03 = 56,721/x
  3. Step 3: Cross multiply
    102,044.16x = 140,820.03 × 56,721
  4. Step 4: Simplify right side
    102,044.16x = 7,987,452,921.63
  5. Step 5: Solve for x
    x = 7,987,452,921.63/102,044.16
  6. Step 6: Final answer
    x = 78,274.47

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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.