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Finding the Fourth Proportional to 341,890.16, 512,841.84 and 105,232.59

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Solution

The fourth proportional to 341,890.16, 512,841.84 and 105,232.59 is: 157,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,890.16 : 512,841.84 = 105,232.59 : x
  2. Step 2: Convert to fraction form
    341,890.16/512,841.84 = 105,232.59/x
  3. Step 3: Cross multiply
    341,890.16x = 512,841.84 × 105,232.59
  4. Step 4: Simplify right side
    341,890.16x = 53,967,675,083.57
  5. Step 5: Solve for x
    x = 53,967,675,083.57/341,890.16
  6. Step 6: Final answer
    x = 157,850.92

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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.