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Finding the Fourth Proportional to 133,083.90, 183,648.02 and 72,642.50

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Solution

The fourth proportional to 133,083.90, 183,648.02 and 72,642.50 is: 100,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083.90 : 183,648.02 = 72,642.50 : x
  2. Step 2: Convert to fraction form
    133,083.90/183,648.02 = 72,642.50/x
  3. Step 3: Cross multiply
    133,083.90x = 183,648.02 × 72,642.50
  4. Step 4: Simplify right side
    133,083.90x = 13,340,651,292.85
  5. Step 5: Solve for x
    x = 13,340,651,292.85/133,083.90
  6. Step 6: Final answer
    x = 100,242.41

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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.