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Finding the Fourth Proportional to 202,428, 279,350.66 and 113,004

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Solution

The fourth proportional to 202,428, 279,350.66 and 113,004 is: 155,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,428 : 279,350.66 = 113,004 : x
  2. Step 2: Convert to fraction form
    202,428/279,350.66 = 113,004/x
  3. Step 3: Cross multiply
    202,428x = 279,350.66 × 113,004
  4. Step 4: Simplify right side
    202,428x = 31,567,741,982.64
  5. Step 5: Solve for x
    x = 31,567,741,982.64/202,428
  6. Step 6: Final answer
    x = 155,945.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.