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Finding the Fourth Proportional to 260,531.42, 359,539.74 and 145,809.16

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Solution

The fourth proportional to 260,531.42, 359,539.74 and 145,809.16 is: 201,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,531.42 : 359,539.74 = 145,809.16 : x
  2. Step 2: Convert to fraction form
    260,531.42/359,539.74 = 145,809.16/x
  3. Step 3: Cross multiply
    260,531.42x = 359,539.74 × 145,809.16
  4. Step 4: Simplify right side
    260,531.42x = 52,424,187,476.02
  5. Step 5: Solve for x
    x = 52,424,187,476.02/260,531.42
  6. Step 6: Final answer
    x = 201,220.21

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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.