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Finding the Fourth Proportional to 201,509.48, 278,083.04 and 110,863.48

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Solution

The fourth proportional to 201,509.48, 278,083.04 and 110,863.48 is: 152,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,509.48 : 278,083.04 = 110,863.48 : x
  2. Step 2: Convert to fraction form
    201,509.48/278,083.04 = 110,863.48/x
  3. Step 3: Cross multiply
    201,509.48x = 278,083.04 × 110,863.48
  4. Step 4: Simplify right side
    201,509.48x = 30,829,253,543.38
  5. Step 5: Solve for x
    x = 30,829,253,543.38/201,509.48
  6. Step 6: Final answer
    x = 152,991.58

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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.