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Finding the Fourth Proportional to 182,624, 273,963.26 and 56,253.67

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Solution

The fourth proportional to 182,624, 273,963.26 and 56,253.67 is: 84,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,624 : 273,963.26 = 56,253.67 : x
  2. Step 2: Convert to fraction form
    182,624/273,963.26 = 56,253.67/x
  3. Step 3: Cross multiply
    182,624x = 273,963.26 × 56,253.67
  4. Step 4: Simplify right side
    182,624x = 15,411,438,820.16
  5. Step 5: Solve for x
    x = 15,411,438,820.16/182,624
  6. Step 6: Final answer
    x = 84,388.90

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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.