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Finding the Fourth Proportional to 208,412.53, 312,362.33 and 118,530.68

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Solution

The fourth proportional to 208,412.53, 312,362.33 and 118,530.68 is: 177,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.53 : 312,362.33 = 118,530.68 : x
  2. Step 2: Convert to fraction form
    208,412.53/312,362.33 = 118,530.68/x
  3. Step 3: Cross multiply
    208,412.53x = 312,362.33 × 118,530.68
  4. Step 4: Simplify right side
    208,412.53x = 37,024,517,226.82
  5. Step 5: Solve for x
    x = 37,024,517,226.82/208,412.53
  6. Step 6: Final answer
    x = 177,650.15

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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.