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Finding the Fourth Proportional to 201,655.80, 302,240.70 and 117,253.80

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Solution

The fourth proportional to 201,655.80, 302,240.70 and 117,253.80 is: 175,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655.80 : 302,240.70 = 117,253.80 : x
  2. Step 2: Convert to fraction form
    201,655.80/302,240.70 = 117,253.80/x
  3. Step 3: Cross multiply
    201,655.80x = 302,240.70 × 117,253.80
  4. Step 4: Simplify right side
    201,655.80x = 35,438,870,589.66
  5. Step 5: Solve for x
    x = 35,438,870,589.66/201,655.80
  6. Step 6: Final answer
    x = 175,739.41

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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.