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Finding the Fourth Proportional to 192,089.54, 287,901.01 and 135,946.06

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Solution

The fourth proportional to 192,089.54, 287,901.01 and 135,946.06 is: 203,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,089.54 : 287,901.01 = 135,946.06 : x
  2. Step 2: Convert to fraction form
    192,089.54/287,901.01 = 135,946.06/x
  3. Step 3: Cross multiply
    192,089.54x = 287,901.01 × 135,946.06
  4. Step 4: Simplify right side
    192,089.54x = 39,139,007,979.52
  5. Step 5: Solve for x
    x = 39,139,007,979.52/192,089.54
  6. Step 6: Final answer
    x = 203,753.98

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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.