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Finding the Fourth Proportional to 100,871.42, 139,201.40 and 55,548.50

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Solution

The fourth proportional to 100,871.42, 139,201.40 and 55,548.50 is: 76,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,871.42 : 139,201.40 = 55,548.50 : x
  2. Step 2: Convert to fraction form
    100,871.42/139,201.40 = 55,548.50/x
  3. Step 3: Cross multiply
    100,871.42x = 139,201.40 × 55,548.50
  4. Step 4: Simplify right side
    100,871.42x = 7,732,428,967.90
  5. Step 5: Solve for x
    x = 7,732,428,967.90/100,871.42
  6. Step 6: Final answer
    x = 76,656.29

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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.