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Finding the Fourth Proportional to 214,635.84, 296,210.88 and 119,144.13

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Solution

The fourth proportional to 214,635.84, 296,210.88 and 119,144.13 is: 164,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,635.84 : 296,210.88 = 119,144.13 : x
  2. Step 2: Convert to fraction form
    214,635.84/296,210.88 = 119,144.13/x
  3. Step 3: Cross multiply
    214,635.84x = 296,210.88 × 119,144.13
  4. Step 4: Simplify right side
    214,635.84x = 35,291,787,594.13
  5. Step 5: Solve for x
    x = 35,291,787,594.13/214,635.84
  6. Step 6: Final answer
    x = 164,426.35

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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.