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Finding the Fourth Proportional to 235,632.28, 325,048.62 and 140,071

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Solution

The fourth proportional to 235,632.28, 325,048.62 and 140,071 is: 193,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,632.28 : 325,048.62 = 140,071 : x
  2. Step 2: Convert to fraction form
    235,632.28/325,048.62 = 140,071/x
  3. Step 3: Cross multiply
    235,632.28x = 325,048.62 × 140,071
  4. Step 4: Simplify right side
    235,632.28x = 45,529,885,252.02
  5. Step 5: Solve for x
    x = 45,529,885,252.02/235,632.28
  6. Step 6: Final answer
    x = 193,224.31

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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.