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Finding the Fourth Proportional to 149,128, 205,967.28 and 101,301.28

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Solution

The fourth proportional to 149,128, 205,967.28 and 101,301.28 is: 139,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,128 : 205,967.28 = 101,301.28 : x
  2. Step 2: Convert to fraction form
    149,128/205,967.28 = 101,301.28/x
  3. Step 3: Cross multiply
    149,128x = 205,967.28 × 101,301.28
  4. Step 4: Simplify right side
    149,128x = 20,864,749,102.12
  5. Step 5: Solve for x
    x = 20,864,749,102.12/149,128
  6. Step 6: Final answer
    x = 139,911.68

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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.