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Finding the Fourth Proportional to 214,785.48, 296,398.80 and 119,291.34

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Solution

The fourth proportional to 214,785.48, 296,398.80 and 119,291.34 is: 164,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,785.48 : 296,398.80 = 119,291.34 : x
  2. Step 2: Convert to fraction form
    214,785.48/296,398.80 = 119,291.34/x
  3. Step 3: Cross multiply
    214,785.48x = 296,398.80 × 119,291.34
  4. Step 4: Simplify right side
    214,785.48x = 35,357,810,026.39
  5. Step 5: Solve for x
    x = 35,357,810,026.39/214,785.48
  6. Step 6: Final answer
    x = 164,619.18

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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.