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Finding the Fourth Proportional to 208,281.37, 312,357.44 and 75,144.32

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Solution

The fourth proportional to 208,281.37, 312,357.44 and 75,144.32 is: 112,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.37 : 312,357.44 = 75,144.32 : x
  2. Step 2: Convert to fraction form
    208,281.37/312,357.44 = 75,144.32/x
  3. Step 3: Cross multiply
    208,281.37x = 312,357.44 × 75,144.32
  4. Step 4: Simplify right side
    208,281.37x = 23,471,887,425.74
  5. Step 5: Solve for x
    x = 23,471,887,425.74/208,281.37
  6. Step 6: Final answer
    x = 112,693.17

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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.