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Finding the Fourth Proportional to 201,714.33, 302,468.23 and 112,944.00

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Solution

The fourth proportional to 201,714.33, 302,468.23 and 112,944.00 is: 169,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.33 : 302,468.23 = 112,944.00 : x
  2. Step 2: Convert to fraction form
    201,714.33/302,468.23 = 112,944.00/x
  3. Step 3: Cross multiply
    201,714.33x = 302,468.23 × 112,944.00
  4. Step 4: Simplify right side
    201,714.33x = 34,161,972,409.25
  5. Step 5: Solve for x
    x = 34,161,972,409.25/201,714.33
  6. Step 6: Final answer
    x = 169,358.18

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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.