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Finding the Fourth Proportional to 201,834.90, 302,493.15 and 154,854.90

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Solution

The fourth proportional to 201,834.90, 302,493.15 and 154,854.90 is: 232,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834.90 : 302,493.15 = 154,854.90 : x
  2. Step 2: Convert to fraction form
    201,834.90/302,493.15 = 154,854.90/x
  3. Step 3: Cross multiply
    201,834.90x = 302,493.15 × 154,854.90
  4. Step 4: Simplify right side
    201,834.90x = 46,842,546,493.94
  5. Step 5: Solve for x
    x = 46,842,546,493.94/201,834.90
  6. Step 6: Final answer
    x = 232,083.48

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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.