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Finding the Fourth Proportional to 154,717.84, 232,080 and 49,536.50

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Solution

The fourth proportional to 154,717.84, 232,080 and 49,536.50 is: 74,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,717.84 : 232,080 = 49,536.50 : x
  2. Step 2: Convert to fraction form
    154,717.84/232,080 = 49,536.50/x
  3. Step 3: Cross multiply
    154,717.84x = 232,080 × 49,536.50
  4. Step 4: Simplify right side
    154,717.84x = 11,496,430,920
  5. Step 5: Solve for x
    x = 11,496,430,920/154,717.84
  6. Step 6: Final answer
    x = 74,305.79

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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.