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Finding the Fourth Proportional to 242,245, 363,370.74 and 76,033

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Solution

The fourth proportional to 242,245, 363,370.74 and 76,033 is: 114,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245 : 363,370.74 = 76,033 : x
  2. Step 2: Convert to fraction form
    242,245/363,370.74 = 76,033/x
  3. Step 3: Cross multiply
    242,245x = 363,370.74 × 76,033
  4. Step 4: Simplify right side
    242,245x = 27,628,167,474.42
  5. Step 5: Solve for x
    x = 27,628,167,474.42/242,245
  6. Step 6: Final answer
    x = 114,050.52

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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.