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Finding the Fourth Proportional to 214,488.60, 296,029.80 and 119,025.96

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Solution

The fourth proportional to 214,488.60, 296,029.80 and 119,025.96 is: 164,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488.60 : 296,029.80 = 119,025.96 : x
  2. Step 2: Convert to fraction form
    214,488.60/296,029.80 = 119,025.96/x
  3. Step 3: Cross multiply
    214,488.60x = 296,029.80 × 119,025.96
  4. Step 4: Simplify right side
    214,488.60x = 35,235,231,133.61
  5. Step 5: Solve for x
    x = 35,235,231,133.61/214,488.60
  6. Step 6: Final answer
    x = 164,275.54

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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.