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Finding the Fourth Proportional to 202,763.72, 279,701.70 and 117,871.40

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Solution

The fourth proportional to 202,763.72, 279,701.70 and 117,871.40 is: 162,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,763.72 : 279,701.70 = 117,871.40 : x
  2. Step 2: Convert to fraction form
    202,763.72/279,701.70 = 117,871.40/x
  3. Step 3: Cross multiply
    202,763.72x = 279,701.70 × 117,871.40
  4. Step 4: Simplify right side
    202,763.72x = 32,968,830,961.38
  5. Step 5: Solve for x
    x = 32,968,830,961.38/202,763.72
  6. Step 6: Final answer
    x = 162,597.29

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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.