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Finding the Fourth Proportional to 201,483.62, 278,038.61 and 110,833.83

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Solution

The fourth proportional to 201,483.62, 278,038.61 and 110,833.83 is: 152,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,483.62 : 278,038.61 = 110,833.83 : x
  2. Step 2: Convert to fraction form
    201,483.62/278,038.61 = 110,833.83/x
  3. Step 3: Cross multiply
    201,483.62x = 278,038.61 × 110,833.83
  4. Step 4: Simplify right side
    201,483.62x = 30,816,083,480.01
  5. Step 5: Solve for x
    x = 30,816,083,480.01/201,483.62
  6. Step 6: Final answer
    x = 152,945.85

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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.