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Finding the Fourth Proportional to 201,324.40, 301,985.48 and 51,564.40

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Solution

The fourth proportional to 201,324.40, 301,985.48 and 51,564.40 is: 77,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324.40 : 301,985.48 = 51,564.40 : x
  2. Step 2: Convert to fraction form
    201,324.40/301,985.48 = 51,564.40/x
  3. Step 3: Cross multiply
    201,324.40x = 301,985.48 × 51,564.40
  4. Step 4: Simplify right side
    201,324.40x = 15,571,700,084.91
  5. Step 5: Solve for x
    x = 15,571,700,084.91/201,324.40
  6. Step 6: Final answer
    x = 77,346.31

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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.