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Finding the Fourth Proportional to 214,911.96, 296,565.48 and 119,415.39

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Solution

The fourth proportional to 214,911.96, 296,565.48 and 119,415.39 is: 164,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,911.96 : 296,565.48 = 119,415.39 : x
  2. Step 2: Convert to fraction form
    214,911.96/296,565.48 = 119,415.39/x
  3. Step 3: Cross multiply
    214,911.96x = 296,565.48 × 119,415.39
  4. Step 4: Simplify right side
    214,911.96x = 35,414,482,454.74
  5. Step 5: Solve for x
    x = 35,414,482,454.74/214,911.96
  6. Step 6: Final answer
    x = 164,786.00

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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.