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Finding the Fourth Proportional to 200,747.52, 301,025.93 and 116,533.52

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Solution

The fourth proportional to 200,747.52, 301,025.93 and 116,533.52 is: 174,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.52 : 301,025.93 = 116,533.52 : x
  2. Step 2: Convert to fraction form
    200,747.52/301,025.93 = 116,533.52/x
  3. Step 3: Cross multiply
    200,747.52x = 301,025.93 × 116,533.52
  4. Step 4: Simplify right side
    200,747.52x = 35,079,610,020.38
  5. Step 5: Solve for x
    x = 35,079,610,020.38/200,747.52
  6. Step 6: Final answer
    x = 174,744.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.