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Finding the Fourth Proportional to 242,693.74, 364,204.56 and 84,923.56

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Solution

The fourth proportional to 242,693.74, 364,204.56 and 84,923.56 is: 127,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,693.74 : 364,204.56 = 84,923.56 : x
  2. Step 2: Convert to fraction form
    242,693.74/364,204.56 = 84,923.56/x
  3. Step 3: Cross multiply
    242,693.74x = 364,204.56 × 84,923.56
  4. Step 4: Simplify right side
    242,693.74x = 30,929,547,803.43
  5. Step 5: Solve for x
    x = 30,929,547,803.43/242,693.74
  6. Step 6: Final answer
    x = 127,442.71

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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.