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Finding the Fourth Proportional to 180,046, 248,463.48 and 100,558

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Solution

The fourth proportional to 180,046, 248,463.48 and 100,558 is: 138,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,046 : 248,463.48 = 100,558 : x
  2. Step 2: Convert to fraction form
    180,046/248,463.48 = 100,558/x
  3. Step 3: Cross multiply
    180,046x = 248,463.48 × 100,558
  4. Step 4: Simplify right side
    180,046x = 24,984,990,621.84
  5. Step 5: Solve for x
    x = 24,984,990,621.84/180,046
  6. Step 6: Final answer
    x = 138,770.04

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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.