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Finding the Fourth Proportional to 201,301.04, 301,960.74 and 142,400

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Solution

The fourth proportional to 201,301.04, 301,960.74 and 142,400 is: 213,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.04 : 301,960.74 = 142,400 : x
  2. Step 2: Convert to fraction form
    201,301.04/301,960.74 = 142,400/x
  3. Step 3: Cross multiply
    201,301.04x = 301,960.74 × 142,400
  4. Step 4: Simplify right side
    201,301.04x = 42,999,209,376
  5. Step 5: Solve for x
    x = 42,999,209,376/201,301.04
  6. Step 6: Final answer
    x = 213,606.49

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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.