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Finding the Fourth Proportional to 154,812, 232,238.70 and 61,295.88

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Solution

The fourth proportional to 154,812, 232,238.70 and 61,295.88 is: 91,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,812 : 232,238.70 = 61,295.88 : x
  2. Step 2: Convert to fraction form
    154,812/232,238.70 = 61,295.88/x
  3. Step 3: Cross multiply
    154,812x = 232,238.70 × 61,295.88
  4. Step 4: Simplify right side
    154,812x = 14,235,275,486.56
  5. Step 5: Solve for x
    x = 14,235,275,486.56/154,812
  6. Step 6: Final answer
    x = 91,952.02

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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.