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Finding the Fourth Proportional to 199,424.86, 275,206.56 and 114,558.34

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Solution

The fourth proportional to 199,424.86, 275,206.56 and 114,558.34 is: 158,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,424.86 : 275,206.56 = 114,558.34 : x
  2. Step 2: Convert to fraction form
    199,424.86/275,206.56 = 114,558.34/x
  3. Step 3: Cross multiply
    199,424.86x = 275,206.56 × 114,558.34
  4. Step 4: Simplify right side
    199,424.86x = 31,527,206,670.71
  5. Step 5: Solve for x
    x = 31,527,206,670.71/199,424.86
  6. Step 6: Final answer
    x = 158,090.65

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