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Finding the Fourth Proportional to 214,438.53, 295,938.59 and 123,811.07

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Solution

The fourth proportional to 214,438.53, 295,938.59 and 123,811.07 is: 170,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,438.53 : 295,938.59 = 123,811.07 : x
  2. Step 2: Convert to fraction form
    214,438.53/295,938.59 = 123,811.07/x
  3. Step 3: Cross multiply
    214,438.53x = 295,938.59 × 123,811.07
  4. Step 4: Simplify right side
    214,438.53x = 36,640,473,602.98
  5. Step 5: Solve for x
    x = 36,640,473,602.98/214,438.53
  6. Step 6: Final answer
    x = 170,867.02

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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.