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Finding the Fourth Proportional to 154,152.66, 231,225.68 and 71,046.66

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Solution

The fourth proportional to 154,152.66, 231,225.68 and 71,046.66 is: 106,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,152.66 : 231,225.68 = 71,046.66 : x
  2. Step 2: Convert to fraction form
    154,152.66/231,225.68 = 71,046.66/x
  3. Step 3: Cross multiply
    154,152.66x = 231,225.68 × 71,046.66
  4. Step 4: Simplify right side
    154,152.66x = 16,427,812,270.23
  5. Step 5: Solve for x
    x = 16,427,812,270.23/154,152.66
  6. Step 6: Final answer
    x = 106,568.46

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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.