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Finding the Fourth Proportional to 260,378.66, 359,305.58 and 145,637.43

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Solution

The fourth proportional to 260,378.66, 359,305.58 and 145,637.43 is: 200,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,378.66 : 359,305.58 = 145,637.43 : x
  2. Step 2: Convert to fraction form
    260,378.66/359,305.58 = 145,637.43/x
  3. Step 3: Cross multiply
    260,378.66x = 359,305.58 × 145,637.43
  4. Step 4: Simplify right side
    260,378.66x = 52,328,340,527.67
  5. Step 5: Solve for x
    x = 52,328,340,527.67/260,378.66
  6. Step 6: Final answer
    x = 200,970.16

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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.