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Finding the Fourth Proportional to 183,670.50, 275,505.76 and 72,862.50

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Solution

The fourth proportional to 183,670.50, 275,505.76 and 72,862.50 is: 109,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,670.50 : 275,505.76 = 72,862.50 : x
  2. Step 2: Convert to fraction form
    183,670.50/275,505.76 = 72,862.50/x
  3. Step 3: Cross multiply
    183,670.50x = 275,505.76 × 72,862.50
  4. Step 4: Simplify right side
    183,670.50x = 20,074,038,438
  5. Step 5: Solve for x
    x = 20,074,038,438/183,670.50
  6. Step 6: Final answer
    x = 109,293.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.