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Finding the Fourth Proportional to 387,205.68, 580,837.68 and 106,720.50

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Solution

The fourth proportional to 387,205.68, 580,837.68 and 106,720.50 is: 160,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,205.68 : 580,837.68 = 106,720.50 : x
  2. Step 2: Convert to fraction form
    387,205.68/580,837.68 = 106,720.50/x
  3. Step 3: Cross multiply
    387,205.68x = 580,837.68 × 106,720.50
  4. Step 4: Simplify right side
    387,205.68x = 61,987,287,628.44
  5. Step 5: Solve for x
    x = 61,987,287,628.44/387,205.68
  6. Step 6: Final answer
    x = 160,088.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.