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Finding the Fourth Proportional to 201,932.40, 302,898.60 and 154,693.20

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Solution

The fourth proportional to 201,932.40, 302,898.60 and 154,693.20 is: 232,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,932.40 : 302,898.60 = 154,693.20 : x
  2. Step 2: Convert to fraction form
    201,932.40/302,898.60 = 154,693.20/x
  3. Step 3: Cross multiply
    201,932.40x = 302,898.60 × 154,693.20
  4. Step 4: Simplify right side
    201,932.40x = 46,856,353,709.52
  5. Step 5: Solve for x
    x = 46,856,353,709.52/201,932.40
  6. Step 6: Final answer
    x = 232,039.80

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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.