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Finding the Fourth Proportional to 260,237.64, 359,120.22 and 145,509.24

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Solution

The fourth proportional to 260,237.64, 359,120.22 and 145,509.24 is: 200,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,237.64 : 359,120.22 = 145,509.24 : x
  2. Step 2: Convert to fraction form
    260,237.64/359,120.22 = 145,509.24/x
  3. Step 3: Cross multiply
    260,237.64x = 359,120.22 × 145,509.24
  4. Step 4: Simplify right side
    260,237.64x = 52,255,310,280.83
  5. Step 5: Solve for x
    x = 52,255,310,280.83/260,237.64
  6. Step 6: Final answer
    x = 200,798.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.