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Finding the Fourth Proportional to 154,497.99, 231,559.83 and 65,564.67

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Solution

The fourth proportional to 154,497.99, 231,559.83 and 65,564.67 is: 98,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,497.99 : 231,559.83 = 65,564.67 : x
  2. Step 2: Convert to fraction form
    154,497.99/231,559.83 = 65,564.67/x
  3. Step 3: Cross multiply
    154,497.99x = 231,559.83 × 65,564.67
  4. Step 4: Simplify right side
    154,497.99x = 15,182,143,839.21
  5. Step 5: Solve for x
    x = 15,182,143,839.21/154,497.99
  6. Step 6: Final answer
    x = 98,267.58

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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.