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Finding the Fourth Proportional to 100,723.76, 138,989.14 and 55,401.02

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Solution

The fourth proportional to 100,723.76, 138,989.14 and 55,401.02 is: 76,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,723.76 : 138,989.14 = 55,401.02 : x
  2. Step 2: Convert to fraction form
    100,723.76/138,989.14 = 55,401.02/x
  3. Step 3: Cross multiply
    100,723.76x = 138,989.14 × 55,401.02
  4. Step 4: Simplify right side
    100,723.76x = 7,700,139,291.47
  5. Step 5: Solve for x
    x = 7,700,139,291.47/100,723.76
  6. Step 6: Final answer
    x = 76,448.10

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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.