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Finding the Fourth Proportional to 201,287.80, 302,061.30 and 117,047.80

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Solution

The fourth proportional to 201,287.80, 302,061.30 and 117,047.80 is: 175,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287.80 : 302,061.30 = 117,047.80 : x
  2. Step 2: Convert to fraction form
    201,287.80/302,061.30 = 117,047.80/x
  3. Step 3: Cross multiply
    201,287.80x = 302,061.30 × 117,047.80
  4. Step 4: Simplify right side
    201,287.80x = 35,355,610,630.14
  5. Step 5: Solve for x
    x = 35,355,610,630.14/201,287.80
  6. Step 6: Final answer
    x = 175,647.06

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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.