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Finding the Fourth Proportional to 260,414.13, 359,404.65 and 145,699.23

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Solution

The fourth proportional to 260,414.13, 359,404.65 and 145,699.23 is: 201,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,414.13 : 359,404.65 = 145,699.23 : x
  2. Step 2: Convert to fraction form
    260,414.13/359,404.65 = 145,699.23/x
  3. Step 3: Cross multiply
    260,414.13x = 359,404.65 × 145,699.23
  4. Step 4: Simplify right side
    260,414.13x = 52,364,980,763.42
  5. Step 5: Solve for x
    x = 52,364,980,763.42/260,414.13
  6. Step 6: Final answer
    x = 201,083.48

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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.