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Finding the Fourth Proportional to 242,582.80, 363,922.80 and 203,411.20

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Solution

The fourth proportional to 242,582.80, 363,922.80 and 203,411.20 is: 305,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,582.80 : 363,922.80 = 203,411.20 : x
  2. Step 2: Convert to fraction form
    242,582.80/363,922.80 = 203,411.20/x
  3. Step 3: Cross multiply
    242,582.80x = 363,922.80 × 203,411.20
  4. Step 4: Simplify right side
    242,582.80x = 74,025,973,455.36
  5. Step 5: Solve for x
    x = 74,025,973,455.36/242,582.80
  6. Step 6: Final answer
    x = 305,157.55

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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.