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Finding the Fourth Proportional to 201,300.80, 302,080.80 and 117,060.80

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Solution

The fourth proportional to 201,300.80, 302,080.80 and 117,060.80 is: 175,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,300.80 : 302,080.80 = 117,060.80 : x
  2. Step 2: Convert to fraction form
    201,300.80/302,080.80 = 117,060.80/x
  3. Step 3: Cross multiply
    201,300.80x = 302,080.80 × 117,060.80
  4. Step 4: Simplify right side
    201,300.80x = 35,361,820,112.64
  5. Step 5: Solve for x
    x = 35,361,820,112.64/201,300.80
  6. Step 6: Final answer
    x = 175,666.57

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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.