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Finding the Fourth Proportional to 201,500.30, 301,904.85 and 96,092.30

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Solution

The fourth proportional to 201,500.30, 301,904.85 and 96,092.30 is: 143,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,500.30 : 301,904.85 = 96,092.30 : x
  2. Step 2: Convert to fraction form
    201,500.30/301,904.85 = 96,092.30/x
  3. Step 3: Cross multiply
    201,500.30x = 301,904.85 × 96,092.30
  4. Step 4: Simplify right side
    201,500.30x = 29,010,731,417.66
  5. Step 5: Solve for x
    x = 29,010,731,417.66/201,500.30
  6. Step 6: Final answer
    x = 143,973.64

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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.