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Finding the Fourth Proportional to 259,064.32, 357,515.76 and 145,891.12

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Solution

The fourth proportional to 259,064.32, 357,515.76 and 145,891.12 is: 201,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,064.32 : 357,515.76 = 145,891.12 : x
  2. Step 2: Convert to fraction form
    259,064.32/357,515.76 = 145,891.12/x
  3. Step 3: Cross multiply
    259,064.32x = 357,515.76 × 145,891.12
  4. Step 4: Simplify right side
    259,064.32x = 52,158,374,644.05
  5. Step 5: Solve for x
    x = 52,158,374,644.05/259,064.32
  6. Step 6: Final answer
    x = 201,333.69

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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.