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Finding the Fourth Proportional to 233,683.26, 322,475.25 and 147,688.39

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Solution

The fourth proportional to 233,683.26, 322,475.25 and 147,688.39 is: 203,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,683.26 : 322,475.25 = 147,688.39 : x
  2. Step 2: Convert to fraction form
    233,683.26/322,475.25 = 147,688.39/x
  3. Step 3: Cross multiply
    233,683.26x = 322,475.25 × 147,688.39
  4. Step 4: Simplify right side
    233,683.26x = 47,625,850,487.35
  5. Step 5: Solve for x
    x = 47,625,850,487.35/233,683.26
  6. Step 6: Final answer
    x = 203,805.14

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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.