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Finding the Fourth Proportional to 214,594.40, 296,134.62 and 119,098.64

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Solution

The fourth proportional to 214,594.40, 296,134.62 and 119,098.64 is: 164,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,594.40 : 296,134.62 = 119,098.64 : x
  2. Step 2: Convert to fraction form
    214,594.40/296,134.62 = 119,098.64/x
  3. Step 3: Cross multiply
    214,594.40x = 296,134.62 × 119,098.64
  4. Step 4: Simplify right side
    214,594.40x = 35,269,229,018.24
  5. Step 5: Solve for x
    x = 35,269,229,018.24/214,594.40
  6. Step 6: Final answer
    x = 164,352.98

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