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Finding the Fourth Proportional to 213,917.64, 295,213.23 and 123,266.40

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Solution

The fourth proportional to 213,917.64, 295,213.23 and 123,266.40 is: 170,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,917.64 : 295,213.23 = 123,266.40 : x
  2. Step 2: Convert to fraction form
    213,917.64/295,213.23 = 123,266.40/x
  3. Step 3: Cross multiply
    213,917.64x = 295,213.23 × 123,266.40
  4. Step 4: Simplify right side
    213,917.64x = 36,389,872,094.47
  5. Step 5: Solve for x
    x = 36,389,872,094.47/213,917.64
  6. Step 6: Final answer
    x = 170,111.60

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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.