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Finding the Fourth Proportional to 133,006.26, 183,549.16 and 72,578.15

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Solution

The fourth proportional to 133,006.26, 183,549.16 and 72,578.15 is: 100,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,006.26 : 183,549.16 = 72,578.15 : x
  2. Step 2: Convert to fraction form
    133,006.26/183,549.16 = 72,578.15/x
  3. Step 3: Cross multiply
    133,006.26x = 183,549.16 × 72,578.15
  4. Step 4: Simplify right side
    133,006.26x = 13,321,658,466.85
  5. Step 5: Solve for x
    x = 13,321,658,466.85/133,006.26
  6. Step 6: Final answer
    x = 100,158.13

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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.