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Finding the Fourth Proportional to 154,731, 232,200.24 and 56,235

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Solution

The fourth proportional to 154,731, 232,200.24 and 56,235 is: 84,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,731 : 232,200.24 = 56,235 : x
  2. Step 2: Convert to fraction form
    154,731/232,200.24 = 56,235/x
  3. Step 3: Cross multiply
    154,731x = 232,200.24 × 56,235
  4. Step 4: Simplify right side
    154,731x = 13,057,780,496.40
  5. Step 5: Solve for x
    x = 13,057,780,496.40/154,731
  6. Step 6: Final answer
    x = 84,390.20

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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.