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Finding the Fourth Proportional to 98,249.70, 147,374.12 and 28,129

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Solution

The fourth proportional to 98,249.70, 147,374.12 and 28,129 is: 42,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,249.70 : 147,374.12 = 28,129 : x
  2. Step 2: Convert to fraction form
    98,249.70/147,374.12 = 28,129/x
  3. Step 3: Cross multiply
    98,249.70x = 147,374.12 × 28,129
  4. Step 4: Simplify right side
    98,249.70x = 4,145,486,621.48
  5. Step 5: Solve for x
    x = 4,145,486,621.48/98,249.70
  6. Step 6: Final answer
    x = 42,193.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.