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Finding the Fourth Proportional to 201,783.63, 278,461.41 and 116,949.90

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Solution

The fourth proportional to 201,783.63, 278,461.41 and 116,949.90 is: 161,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,783.63 : 278,461.41 = 116,949.90 : x
  2. Step 2: Convert to fraction form
    201,783.63/278,461.41 = 116,949.90/x
  3. Step 3: Cross multiply
    201,783.63x = 278,461.41 × 116,949.90
  4. Step 4: Simplify right side
    201,783.63x = 32,566,034,053.36
  5. Step 5: Solve for x
    x = 32,566,034,053.36/201,783.63
  6. Step 6: Final answer
    x = 161,390.86

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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.