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Finding the Fourth Proportional to 201,337.40, 302,004.90 and 51,577.40

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Solution

The fourth proportional to 201,337.40, 302,004.90 and 51,577.40 is: 77,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,337.40 : 302,004.90 = 51,577.40 : x
  2. Step 2: Convert to fraction form
    201,337.40/302,004.90 = 51,577.40/x
  3. Step 3: Cross multiply
    201,337.40x = 302,004.90 × 51,577.40
  4. Step 4: Simplify right side
    201,337.40x = 15,576,627,529.26
  5. Step 5: Solve for x
    x = 15,576,627,529.26/201,337.40
  6. Step 6: Final answer
    x = 77,365.79

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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.