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Finding the Fourth Proportional to 199,564.92, 275,446.80 and 114,731.28

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Solution

The fourth proportional to 199,564.92, 275,446.80 and 114,731.28 is: 158,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564.92 : 275,446.80 = 114,731.28 : x
  2. Step 2: Convert to fraction form
    199,564.92/275,446.80 = 114,731.28/x
  3. Step 3: Cross multiply
    199,564.92x = 275,446.80 × 114,731.28
  4. Step 4: Simplify right side
    199,564.92x = 31,602,363,935.90
  5. Step 5: Solve for x
    x = 31,602,363,935.90/199,564.92
  6. Step 6: Final answer
    x = 158,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.