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Finding the Fourth Proportional to 259,109.18, 388,336.32 and 138,867.32

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Solution

The fourth proportional to 259,109.18, 388,336.32 and 138,867.32 is: 208,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,109.18 : 388,336.32 = 138,867.32 : x
  2. Step 2: Convert to fraction form
    259,109.18/388,336.32 = 138,867.32/x
  3. Step 3: Cross multiply
    259,109.18x = 388,336.32 × 138,867.32
  4. Step 4: Simplify right side
    259,109.18x = 53,927,224,017.06
  5. Step 5: Solve for x
    x = 53,927,224,017.06/259,109.18
  6. Step 6: Final answer
    x = 208,125.49

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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.