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Finding the Fourth Proportional to 357,187.10, 492,923.31 and 196,039.22

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Solution

The fourth proportional to 357,187.10, 492,923.31 and 196,039.22 is: 270,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,187.10 : 492,923.31 = 196,039.22 : x
  2. Step 2: Convert to fraction form
    357,187.10/492,923.31 = 196,039.22/x
  3. Step 3: Cross multiply
    357,187.10x = 492,923.31 × 196,039.22
  4. Step 4: Simplify right side
    357,187.10x = 96,632,301,212.22
  5. Step 5: Solve for x
    x = 96,632,301,212.22/357,187.10
  6. Step 6: Final answer
    x = 270,536.93

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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.