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Finding the Fourth Proportional to 288,065.60, 431,731.20 and 161,705.60

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Solution

The fourth proportional to 288,065.60, 431,731.20 and 161,705.60 is: 242,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,065.60 : 431,731.20 = 161,705.60 : x
  2. Step 2: Convert to fraction form
    288,065.60/431,731.20 = 161,705.60/x
  3. Step 3: Cross multiply
    288,065.60x = 431,731.20 × 161,705.60
  4. Step 4: Simplify right side
    288,065.60x = 69,813,352,734.72
  5. Step 5: Solve for x
    x = 69,813,352,734.72/288,065.60
  6. Step 6: Final answer
    x = 242,352.27

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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.