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Finding the Fourth Proportional to 218,721.12, 301,835.16 and 118,119.12

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Solution

The fourth proportional to 218,721.12, 301,835.16 and 118,119.12 is: 163,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,721.12 : 301,835.16 = 118,119.12 : x
  2. Step 2: Convert to fraction form
    218,721.12/301,835.16 = 118,119.12/x
  3. Step 3: Cross multiply
    218,721.12x = 301,835.16 × 118,119.12
  4. Step 4: Simplify right side
    218,721.12x = 35,652,503,484.26
  5. Step 5: Solve for x
    x = 35,652,503,484.26/218,721.12
  6. Step 6: Final answer
    x = 163,004.39

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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.