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Finding the Fourth Proportional to 243,200.44, 364,642.74 and 101,006.68

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Solution

The fourth proportional to 243,200.44, 364,642.74 and 101,006.68 is: 151,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,200.44 : 364,642.74 = 101,006.68 : x
  2. Step 2: Convert to fraction form
    243,200.44/364,642.74 = 101,006.68/x
  3. Step 3: Cross multiply
    243,200.44x = 364,642.74 × 101,006.68
  4. Step 4: Simplify right side
    243,200.44x = 36,831,352,553.50
  5. Step 5: Solve for x
    x = 36,831,352,553.50/243,200.44
  6. Step 6: Final answer
    x = 151,444.43

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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.