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Finding the Fourth Proportional to 199,693.60, 275,554.50 and 114,838

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Solution

The fourth proportional to 199,693.60, 275,554.50 and 114,838 is: 158,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,693.60 : 275,554.50 = 114,838 : x
  2. Step 2: Convert to fraction form
    199,693.60/275,554.50 = 114,838/x
  3. Step 3: Cross multiply
    199,693.60x = 275,554.50 × 114,838
  4. Step 4: Simplify right side
    199,693.60x = 31,644,127,671
  5. Step 5: Solve for x
    x = 31,644,127,671/199,693.60
  6. Step 6: Final answer
    x = 158,463.40

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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.