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Finding the Fourth Proportional to 137,302.26, 205,915.32 and 66,271.14

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Solution

The fourth proportional to 137,302.26, 205,915.32 and 66,271.14 is: 99,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.26 : 205,915.32 = 66,271.14 : x
  2. Step 2: Convert to fraction form
    137,302.26/205,915.32 = 66,271.14/x
  3. Step 3: Cross multiply
    137,302.26x = 205,915.32 × 66,271.14
  4. Step 4: Simplify right side
    137,302.26x = 13,646,242,999.86
  5. Step 5: Solve for x
    x = 13,646,242,999.86/137,302.26
  6. Step 6: Final answer
    x = 99,388.33

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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.