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Finding the Fourth Proportional to 200,742.14, 277,024.14 and 111,318.14

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Solution

The fourth proportional to 200,742.14, 277,024.14 and 111,318.14 is: 153,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.14 : 277,024.14 = 111,318.14 : x
  2. Step 2: Convert to fraction form
    200,742.14/277,024.14 = 111,318.14/x
  3. Step 3: Cross multiply
    200,742.14x = 277,024.14 × 111,318.14
  4. Step 4: Simplify right side
    200,742.14x = 30,837,811,999.90
  5. Step 5: Solve for x
    x = 30,837,811,999.90/200,742.14
  6. Step 6: Final answer
    x = 153,619.03

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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.