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Finding the Fourth Proportional to 214,641.66, 296,246.71 and 142,046.01

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Solution

The fourth proportional to 214,641.66, 296,246.71 and 142,046.01 is: 196,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,641.66 : 296,246.71 = 142,046.01 : x
  2. Step 2: Convert to fraction form
    214,641.66/296,246.71 = 142,046.01/x
  3. Step 3: Cross multiply
    214,641.66x = 296,246.71 × 142,046.01
  4. Step 4: Simplify right side
    214,641.66x = 42,080,664,419.61
  5. Step 5: Solve for x
    x = 42,080,664,419.61/214,641.66
  6. Step 6: Final answer
    x = 196,050.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.