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Finding the Fourth Proportional to 192,261, 287,989.34 and 154,617.24

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Solution

The fourth proportional to 192,261, 287,989.34 and 154,617.24 is: 231,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,261 : 287,989.34 = 154,617.24 : x
  2. Step 2: Convert to fraction form
    192,261/287,989.34 = 154,617.24/x
  3. Step 3: Cross multiply
    192,261x = 287,989.34 × 154,617.24
  4. Step 4: Simplify right side
    192,261x = 44,528,116,900.22
  5. Step 5: Solve for x
    x = 44,528,116,900.22/192,261
  6. Step 6: Final answer
    x = 231,602.44

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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.