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Finding the Fourth Proportional to 201,705.80, 302,558.70 and 138,720.20

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Solution

The fourth proportional to 201,705.80, 302,558.70 and 138,720.20 is: 208,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.80 : 302,558.70 = 138,720.20 : x
  2. Step 2: Convert to fraction form
    201,705.80/302,558.70 = 138,720.20/x
  3. Step 3: Cross multiply
    201,705.80x = 302,558.70 × 138,720.20
  4. Step 4: Simplify right side
    201,705.80x = 41,971,003,375.74
  5. Step 5: Solve for x
    x = 41,971,003,375.74/201,705.80
  6. Step 6: Final answer
    x = 208,080.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.