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Finding the Fourth Proportional to 212,373.26, 293,009.10 and 120,477.39

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Solution

The fourth proportional to 212,373.26, 293,009.10 and 120,477.39 is: 166,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,373.26 : 293,009.10 = 120,477.39 : x
  2. Step 2: Convert to fraction form
    212,373.26/293,009.10 = 120,477.39/x
  3. Step 3: Cross multiply
    212,373.26x = 293,009.10 × 120,477.39
  4. Step 4: Simplify right side
    212,373.26x = 35,300,971,711.85
  5. Step 5: Solve for x
    x = 35,300,971,711.85/212,373.26
  6. Step 6: Final answer
    x = 166,221.36

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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.