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Finding the Fourth Proportional to 357,126.56, 492,818.44 and 195,978.37

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Solution

The fourth proportional to 357,126.56, 492,818.44 and 195,978.37 is: 270,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,126.56 : 492,818.44 = 195,978.37 : x
  2. Step 2: Convert to fraction form
    357,126.56/492,818.44 = 195,978.37/x
  3. Step 3: Cross multiply
    357,126.56x = 492,818.44 × 195,978.37
  4. Step 4: Simplify right side
    357,126.56x = 96,581,754,577.14
  5. Step 5: Solve for x
    x = 96,581,754,577.14/357,126.56
  6. Step 6: Final answer
    x = 270,441.25

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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.