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Finding the Fourth Proportional to 199,898.58, 275,875.74 and 113,861.19

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Solution

The fourth proportional to 199,898.58, 275,875.74 and 113,861.19 is: 157,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,898.58 : 275,875.74 = 113,861.19 : x
  2. Step 2: Convert to fraction form
    199,898.58/275,875.74 = 113,861.19/x
  3. Step 3: Cross multiply
    199,898.58x = 275,875.74 × 113,861.19
  4. Step 4: Simplify right side
    199,898.58x = 31,411,540,048.53
  5. Step 5: Solve for x
    x = 31,411,540,048.53/199,898.58
  6. Step 6: Final answer
    x = 157,137.38

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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.