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Finding the Fourth Proportional to 201,700.02, 302,542.74 and 61,455

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Solution

The fourth proportional to 201,700.02, 302,542.74 and 61,455 is: 92,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.02 : 302,542.74 = 61,455 : x
  2. Step 2: Convert to fraction form
    201,700.02/302,542.74 = 61,455/x
  3. Step 3: Cross multiply
    201,700.02x = 302,542.74 × 61,455
  4. Step 4: Simplify right side
    201,700.02x = 18,592,764,086.70
  5. Step 5: Solve for x
    x = 18,592,764,086.70/201,700.02
  6. Step 6: Final answer
    x = 92,180.28

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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.