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Finding the Fourth Proportional to 208,110.40, 312,165.60 and 161,454.40

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Solution

The fourth proportional to 208,110.40, 312,165.60 and 161,454.40 is: 242,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,110.40 : 312,165.60 = 161,454.40 : x
  2. Step 2: Convert to fraction form
    208,110.40/312,165.60 = 161,454.40/x
  3. Step 3: Cross multiply
    208,110.40x = 312,165.60 × 161,454.40
  4. Step 4: Simplify right side
    208,110.40x = 50,400,509,648.64
  5. Step 5: Solve for x
    x = 50,400,509,648.64/208,110.40
  6. Step 6: Final answer
    x = 242,181.60

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1.5x scale

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.