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Finding the Fourth Proportional to 214,656, 296,210.43 and 119,155.19

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Solution

The fourth proportional to 214,656, 296,210.43 and 119,155.19 is: 164,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,656 : 296,210.43 = 119,155.19 : x
  2. Step 2: Convert to fraction form
    214,656/296,210.43 = 119,155.19/x
  3. Step 3: Cross multiply
    214,656x = 296,210.43 × 119,155.19
  4. Step 4: Simplify right side
    214,656x = 35,295,008,585.58
  5. Step 5: Solve for x
    x = 35,295,008,585.58/214,656
  6. Step 6: Final answer
    x = 164,425.91

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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.