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Finding the Fourth Proportional to 183,583.02, 275,185.08 and 77,028.86

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Solution

The fourth proportional to 183,583.02, 275,185.08 and 77,028.86 is: 115,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,583.02 : 275,185.08 = 77,028.86 : x
  2. Step 2: Convert to fraction form
    183,583.02/275,185.08 = 77,028.86/x
  3. Step 3: Cross multiply
    183,583.02x = 275,185.08 × 77,028.86
  4. Step 4: Simplify right side
    183,583.02x = 21,197,193,001.41
  5. Step 5: Solve for x
    x = 21,197,193,001.41/183,583.02
  6. Step 6: Final answer
    x = 115,463.80

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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.