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Finding the Fourth Proportional to 202,349.10, 279,242.17 and 111,705.19

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Solution

The fourth proportional to 202,349.10, 279,242.17 and 111,705.19 is: 154,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,349.10 : 279,242.17 = 111,705.19 : x
  2. Step 2: Convert to fraction form
    202,349.10/279,242.17 = 111,705.19/x
  3. Step 3: Cross multiply
    202,349.10x = 279,242.17 × 111,705.19
  4. Step 4: Simplify right side
    202,349.10x = 31,192,799,655.86
  5. Step 5: Solve for x
    x = 31,192,799,655.86/202,349.10
  6. Step 6: Final answer
    x = 154,153.39

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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.