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Finding the Fourth Proportional to 202,875.88, 304,444.38 and 109,446.12

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Solution

The fourth proportional to 202,875.88, 304,444.38 and 109,446.12 is: 164,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,875.88 : 304,444.38 = 109,446.12 : x
  2. Step 2: Convert to fraction form
    202,875.88/304,444.38 = 109,446.12/x
  3. Step 3: Cross multiply
    202,875.88x = 304,444.38 × 109,446.12
  4. Step 4: Simplify right side
    202,875.88x = 33,320,256,146.81
  5. Step 5: Solve for x
    x = 33,320,256,146.81/202,875.88
  6. Step 6: Final answer
    x = 164,239.61

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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.