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Finding the Fourth Proportional to 202,281.39, 279,145.74 and 116,239.34

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Solution

The fourth proportional to 202,281.39, 279,145.74 and 116,239.34 is: 160,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,281.39 : 279,145.74 = 116,239.34 : x
  2. Step 2: Convert to fraction form
    202,281.39/279,145.74 = 116,239.34/x
  3. Step 3: Cross multiply
    202,281.39x = 279,145.74 × 116,239.34
  4. Step 4: Simplify right side
    202,281.39x = 32,447,715,185.68
  5. Step 5: Solve for x
    x = 32,447,715,185.68/202,281.39
  6. Step 6: Final answer
    x = 160,408.80

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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.