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Finding the Fourth Proportional to 154,596, 231,894 and 37,860

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Solution

The fourth proportional to 154,596, 231,894 and 37,860 is: 56,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,596 : 231,894 = 37,860 : x
  2. Step 2: Convert to fraction form
    154,596/231,894 = 37,860/x
  3. Step 3: Cross multiply
    154,596x = 231,894 × 37,860
  4. Step 4: Simplify right side
    154,596x = 8,779,506,840
  5. Step 5: Solve for x
    x = 8,779,506,840/154,596
  6. Step 6: Final answer
    x = 56,790

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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.