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Finding the Fourth Proportional to 201,567.84, 302,538.66 and 101,798.28

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Solution

The fourth proportional to 201,567.84, 302,538.66 and 101,798.28 is: 152,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,567.84 : 302,538.66 = 101,798.28 : x
  2. Step 2: Convert to fraction form
    201,567.84/302,538.66 = 101,798.28/x
  3. Step 3: Cross multiply
    201,567.84x = 302,538.66 × 101,798.28
  4. Step 4: Simplify right side
    201,567.84x = 30,797,915,221.50
  5. Step 5: Solve for x
    x = 30,797,915,221.50/201,567.84
  6. Step 6: Final answer
    x = 152,791.81

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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.