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Finding the Fourth Proportional to 201,507.80, 301,824.30 and 166,515.80

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Solution

The fourth proportional to 201,507.80, 301,824.30 and 166,515.80 is: 249,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507.80 : 301,824.30 = 166,515.80 : x
  2. Step 2: Convert to fraction form
    201,507.80/301,824.30 = 166,515.80/x
  3. Step 3: Cross multiply
    201,507.80x = 301,824.30 × 166,515.80
  4. Step 4: Simplify right side
    201,507.80x = 50,258,514,773.94
  5. Step 5: Solve for x
    x = 50,258,514,773.94/201,507.80
  6. Step 6: Final answer
    x = 249,412.25

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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.