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Finding the Fourth Proportional to 209,025.60, 313,077.60 and 181,377.60

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Solution

The fourth proportional to 209,025.60, 313,077.60 and 181,377.60 is: 271,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,025.60 : 313,077.60 = 181,377.60 : x
  2. Step 2: Convert to fraction form
    209,025.60/313,077.60 = 181,377.60/x
  3. Step 3: Cross multiply
    209,025.60x = 313,077.60 × 181,377.60
  4. Step 4: Simplify right side
    209,025.60x = 56,785,263,701.76
  5. Step 5: Solve for x
    x = 56,785,263,701.76/209,025.60
  6. Step 6: Final answer
    x = 271,666.55

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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.