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Finding the Fourth Proportional to 100,601.24, 151,029.90 and 65,210.64

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Solution

The fourth proportional to 100,601.24, 151,029.90 and 65,210.64 is: 97,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,601.24 : 151,029.90 = 65,210.64 : x
  2. Step 2: Convert to fraction form
    100,601.24/151,029.90 = 65,210.64/x
  3. Step 3: Cross multiply
    100,601.24x = 151,029.90 × 65,210.64
  4. Step 4: Simplify right side
    100,601.24x = 9,848,756,438.14
  5. Step 5: Solve for x
    x = 9,848,756,438.14/100,601.24
  6. Step 6: Final answer
    x = 97,898.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.