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Finding the Fourth Proportional to 201,764.48, 302,436.48 and 112,887.68

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Solution

The fourth proportional to 201,764.48, 302,436.48 and 112,887.68 is: 169,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764.48 : 302,436.48 = 112,887.68 : x
  2. Step 2: Convert to fraction form
    201,764.48/302,436.48 = 112,887.68/x
  3. Step 3: Cross multiply
    201,764.48x = 302,436.48 × 112,887.68
  4. Step 4: Simplify right side
    201,764.48x = 34,141,352,574.57
  5. Step 5: Solve for x
    x = 34,141,352,574.57/201,764.48
  6. Step 6: Final answer
    x = 169,213.89

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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.