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Finding the Fourth Proportional to 242,170.32, 363,269.14 and 73,696.14

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Solution

The fourth proportional to 242,170.32, 363,269.14 and 73,696.14 is: 110,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,170.32 : 363,269.14 = 73,696.14 : x
  2. Step 2: Convert to fraction form
    242,170.32/363,269.14 = 73,696.14/x
  3. Step 3: Cross multiply
    242,170.32x = 363,269.14 × 73,696.14
  4. Step 4: Simplify right side
    242,170.32x = 26,771,533,399.12
  5. Step 5: Solve for x
    x = 26,771,533,399.12/242,170.32
  6. Step 6: Final answer
    x = 110,548.37

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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.