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Finding the Fourth Proportional to 279,732.25, 386,025.60 and 152,408.74

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Solution

The fourth proportional to 279,732.25, 386,025.60 and 152,408.74 is: 210,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,732.25 : 386,025.60 = 152,408.74 : x
  2. Step 2: Convert to fraction form
    279,732.25/386,025.60 = 152,408.74/x
  3. Step 3: Cross multiply
    279,732.25x = 386,025.60 × 152,408.74
  4. Step 4: Simplify right side
    279,732.25x = 58,833,675,303.74
  5. Step 5: Solve for x
    x = 58,833,675,303.74/279,732.25
  6. Step 6: Final answer
    x = 210,321.39

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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.