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Finding the Fourth Proportional to 214,276.11, 295,641.17 and 168,813

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Solution

The fourth proportional to 214,276.11, 295,641.17 and 168,813 is: 232,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,276.11 : 295,641.17 = 168,813 : x
  2. Step 2: Convert to fraction form
    214,276.11/295,641.17 = 168,813/x
  3. Step 3: Cross multiply
    214,276.11x = 295,641.17 × 168,813
  4. Step 4: Simplify right side
    214,276.11x = 49,908,072,831.21
  5. Step 5: Solve for x
    x = 49,908,072,831.21/214,276.11
  6. Step 6: Final answer
    x = 232,914.78

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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.