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Finding the Fourth Proportional to 201,107.64, 277,520.94 and 111,689.40

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Solution

The fourth proportional to 201,107.64, 277,520.94 and 111,689.40 is: 154,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.64 : 277,520.94 = 111,689.40 : x
  2. Step 2: Convert to fraction form
    201,107.64/277,520.94 = 111,689.40/x
  3. Step 3: Cross multiply
    201,107.64x = 277,520.94 × 111,689.40
  4. Step 4: Simplify right side
    201,107.64x = 30,996,147,276.04
  5. Step 5: Solve for x
    x = 30,996,147,276.04/201,107.64
  6. Step 6: Final answer
    x = 154,127.15

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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.