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Finding the Fourth Proportional to 180,017, 248,423.46 and 100,529

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Solution

The fourth proportional to 180,017, 248,423.46 and 100,529 is: 138,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017 : 248,423.46 = 100,529 : x
  2. Step 2: Convert to fraction form
    180,017/248,423.46 = 100,529/x
  3. Step 3: Cross multiply
    180,017x = 248,423.46 × 100,529
  4. Step 4: Simplify right side
    180,017x = 24,973,762,010.34
  5. Step 5: Solve for x
    x = 24,973,762,010.34/180,017
  6. Step 6: Final answer
    x = 138,730.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.