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Finding the Fourth Proportional to 214,585.66, 321,878.48 and 114,442.46

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Solution

The fourth proportional to 214,585.66, 321,878.48 and 114,442.46 is: 171,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,585.66 : 321,878.48 = 114,442.46 : x
  2. Step 2: Convert to fraction form
    214,585.66/321,878.48 = 114,442.46/x
  3. Step 3: Cross multiply
    214,585.66x = 321,878.48 × 114,442.46
  4. Step 4: Simplify right side
    214,585.66x = 36,836,565,072.26
  5. Step 5: Solve for x
    x = 36,836,565,072.26/214,585.66
  6. Step 6: Final answer
    x = 171,663.68

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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.