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Finding the Fourth Proportional to 341,857.73, 512,835.20 and 105,220.13

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Solution

The fourth proportional to 341,857.73, 512,835.20 and 105,220.13 is: 157,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,857.73 : 512,835.20 = 105,220.13 : x
  2. Step 2: Convert to fraction form
    341,857.73/512,835.20 = 105,220.13/x
  3. Step 3: Cross multiply
    341,857.73x = 512,835.20 × 105,220.13
  4. Step 4: Simplify right side
    341,857.73x = 53,960,586,412.58
  5. Step 5: Solve for x
    x = 53,960,586,412.58/341,857.73
  6. Step 6: Final answer
    x = 157,845.16

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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.