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Finding the Fourth Proportional to 260,796.32, 359,907.48 and 147,616.64

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Solution

The fourth proportional to 260,796.32, 359,907.48 and 147,616.64 is: 203,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,796.32 : 359,907.48 = 147,616.64 : x
  2. Step 2: Convert to fraction form
    260,796.32/359,907.48 = 147,616.64/x
  3. Step 3: Cross multiply
    260,796.32x = 359,907.48 × 147,616.64
  4. Step 4: Simplify right side
    260,796.32x = 53,128,332,908.47
  5. Step 5: Solve for x
    x = 53,128,332,908.47/260,796.32
  6. Step 6: Final answer
    x = 203,715.81

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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.