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Finding the Fourth Proportional to 202,393, 279,302.50 and 112,969

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Solution

The fourth proportional to 202,393, 279,302.50 and 112,969 is: 155,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,393 : 279,302.50 = 112,969 : x
  2. Step 2: Convert to fraction form
    202,393/279,302.50 = 112,969/x
  3. Step 3: Cross multiply
    202,393x = 279,302.50 × 112,969
  4. Step 4: Simplify right side
    202,393x = 31,552,524,122.50
  5. Step 5: Solve for x
    x = 31,552,524,122.50/202,393
  6. Step 6: Final answer
    x = 155,897.31

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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.