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Finding the Fourth Proportional to 214,712.96, 296,312.92 and 119,228.54

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Solution

The fourth proportional to 214,712.96, 296,312.92 and 119,228.54 is: 164,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,712.96 : 296,312.92 = 119,228.54 : x
  2. Step 2: Convert to fraction form
    214,712.96/296,312.92 = 119,228.54/x
  3. Step 3: Cross multiply
    214,712.96x = 296,312.92 × 119,228.54
  4. Step 4: Simplify right side
    214,712.96x = 35,328,955,055.10
  5. Step 5: Solve for x
    x = 35,328,955,055.10/214,712.96
  6. Step 6: Final answer
    x = 164,540.40

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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.