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Finding the Fourth Proportional to 154,510.25, 231,869.25 and 54,670.05

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Solution

The fourth proportional to 154,510.25, 231,869.25 and 54,670.05 is: 82,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,510.25 : 231,869.25 = 54,670.05 : x
  2. Step 2: Convert to fraction form
    154,510.25/231,869.25 = 54,670.05/x
  3. Step 3: Cross multiply
    154,510.25x = 231,869.25 × 54,670.05
  4. Step 4: Simplify right side
    154,510.25x = 12,676,303,490.96
  5. Step 5: Solve for x
    x = 12,676,303,490.96/154,510.25
  6. Step 6: Final answer
    x = 82,041.83

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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.