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Finding the Fourth Proportional to 101,709.85, 140,274.18 and 65,417.27

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Solution

The fourth proportional to 101,709.85, 140,274.18 and 65,417.27 is: 90,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.85 : 140,274.18 = 65,417.27 : x
  2. Step 2: Convert to fraction form
    101,709.85/140,274.18 = 65,417.27/x
  3. Step 3: Cross multiply
    101,709.85x = 140,274.18 × 65,417.27
  4. Step 4: Simplify right side
    101,709.85x = 9,176,353,994.76
  5. Step 5: Solve for x
    x = 9,176,353,994.76/101,709.85
  6. Step 6: Final answer
    x = 90,220.90

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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.