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Finding the Fourth Proportional to 242,145.62, 363,322.89 and 92,430.86

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Solution

The fourth proportional to 242,145.62, 363,322.89 and 92,430.86 is: 138,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,145.62 : 363,322.89 = 92,430.86 : x
  2. Step 2: Convert to fraction form
    242,145.62/363,322.89 = 92,430.86/x
  3. Step 3: Cross multiply
    242,145.62x = 363,322.89 × 92,430.86
  4. Step 4: Simplify right side
    242,145.62x = 33,582,247,180.39
  5. Step 5: Solve for x
    x = 33,582,247,180.39/242,145.62
  6. Step 6: Final answer
    x = 138,686.16

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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.