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Finding the Fourth Proportional to 154,167.81, 231,276.64 and 47,526.81

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Solution

The fourth proportional to 154,167.81, 231,276.64 and 47,526.81 is: 71,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,167.81 : 231,276.64 = 47,526.81 : x
  2. Step 2: Convert to fraction form
    154,167.81/231,276.64 = 47,526.81/x
  3. Step 3: Cross multiply
    154,167.81x = 231,276.64 × 47,526.81
  4. Step 4: Simplify right side
    154,167.81x = 10,991,840,986.13
  5. Step 5: Solve for x
    x = 10,991,840,986.13/154,167.81
  6. Step 6: Final answer
    x = 71,297.90

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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.