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Finding the Fourth Proportional to 242,923.26, 364,374.42 and 83,013.48

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Solution

The fourth proportional to 242,923.26, 364,374.42 and 83,013.48 is: 124,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,923.26 : 364,374.42 = 83,013.48 : x
  2. Step 2: Convert to fraction form
    242,923.26/364,374.42 = 83,013.48/x
  3. Step 3: Cross multiply
    242,923.26x = 364,374.42 × 83,013.48
  4. Step 4: Simplify right side
    242,923.26x = 30,247,988,627.18
  5. Step 5: Solve for x
    x = 30,247,988,627.18/242,923.26
  6. Step 6: Final answer
    x = 124,516.64

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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.