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Finding the Fourth Proportional to 214,505.66, 296,036.19 and 117,728.21

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Solution

The fourth proportional to 214,505.66, 296,036.19 and 117,728.21 is: 162,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,505.66 : 296,036.19 = 117,728.21 : x
  2. Step 2: Convert to fraction form
    214,505.66/296,036.19 = 117,728.21/x
  3. Step 3: Cross multiply
    214,505.66x = 296,036.19 × 117,728.21
  4. Step 4: Simplify right side
    214,505.66x = 34,851,810,155.28
  5. Step 5: Solve for x
    x = 34,851,810,155.28/214,505.66
  6. Step 6: Final answer
    x = 162,475.02

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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.