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Finding the Fourth Proportional to 154,575, 231,794.98 and 54,702

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Solution

The fourth proportional to 154,575, 231,794.98 and 54,702 is: 82,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575 : 231,794.98 = 54,702 : x
  2. Step 2: Convert to fraction form
    154,575/231,794.98 = 54,702/x
  3. Step 3: Cross multiply
    154,575x = 231,794.98 × 54,702
  4. Step 4: Simplify right side
    154,575x = 12,679,648,995.96
  5. Step 5: Solve for x
    x = 12,679,648,995.96/154,575
  6. Step 6: Final answer
    x = 82,029.11

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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.