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Finding the Fourth Proportional to 208,978.92, 288,408.78 and 118,350.92

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Solution

The fourth proportional to 208,978.92, 288,408.78 and 118,350.92 is: 163,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.92 : 288,408.78 = 118,350.92 : x
  2. Step 2: Convert to fraction form
    208,978.92/288,408.78 = 118,350.92/x
  3. Step 3: Cross multiply
    208,978.92x = 288,408.78 × 118,350.92
  4. Step 4: Simplify right side
    208,978.92x = 34,133,444,449.08
  5. Step 5: Solve for x
    x = 34,133,444,449.08/208,978.92
  6. Step 6: Final answer
    x = 163,334.39

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1.5x scale

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.