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Finding the Fourth Proportional to 175,653, 263,521.44 and 57,324.56

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Solution

The fourth proportional to 175,653, 263,521.44 and 57,324.56 is: 86,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,653 : 263,521.44 = 57,324.56 : x
  2. Step 2: Convert to fraction form
    175,653/263,521.44 = 57,324.56/x
  3. Step 3: Cross multiply
    175,653x = 263,521.44 × 57,324.56
  4. Step 4: Simplify right side
    175,653x = 15,106,250,598.57
  5. Step 5: Solve for x
    x = 15,106,250,598.57/175,653
  6. Step 6: Final answer
    x = 86,000.53

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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.