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Finding the Fourth Proportional to 230,068.41, 317,445.60 and 145,136.25

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Solution

The fourth proportional to 230,068.41, 317,445.60 and 145,136.25 is: 200,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,068.41 : 317,445.60 = 145,136.25 : x
  2. Step 2: Convert to fraction form
    230,068.41/317,445.60 = 145,136.25/x
  3. Step 3: Cross multiply
    230,068.41x = 317,445.60 × 145,136.25
  4. Step 4: Simplify right side
    230,068.41x = 46,072,863,963
  5. Step 5: Solve for x
    x = 46,072,863,963/230,068.41
  6. Step 6: Final answer
    x = 200,257.24

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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.