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Finding the Fourth Proportional to 341,125.14, 470,754.54 and 188,168.70

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Solution

The fourth proportional to 341,125.14, 470,754.54 and 188,168.70 is: 259,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,125.14 : 470,754.54 = 188,168.70 : x
  2. Step 2: Convert to fraction form
    341,125.14/470,754.54 = 188,168.70/x
  3. Step 3: Cross multiply
    341,125.14x = 470,754.54 × 188,168.70
  4. Step 4: Simplify right side
    341,125.14x = 88,581,269,810.90
  5. Step 5: Solve for x
    x = 88,581,269,810.90/341,125.14
  6. Step 6: Final answer
    x = 259,673.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.