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Finding the Fourth Proportional to 202,873.23, 279,985.98 and 116,835.03

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Solution

The fourth proportional to 202,873.23, 279,985.98 and 116,835.03 is: 161,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,873.23 : 279,985.98 = 116,835.03 : x
  2. Step 2: Convert to fraction form
    202,873.23/279,985.98 = 116,835.03/x
  3. Step 3: Cross multiply
    202,873.23x = 279,985.98 × 116,835.03
  4. Step 4: Simplify right side
    202,873.23x = 32,712,170,372.88
  5. Step 5: Solve for x
    x = 32,712,170,372.88/202,873.23
  6. Step 6: Final answer
    x = 161,244.39

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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.