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Finding the Fourth Proportional to 181,040.94, 249,829.11 and 100,471.86

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Solution

The fourth proportional to 181,040.94, 249,829.11 and 100,471.86 is: 138,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,040.94 : 249,829.11 = 100,471.86 : x
  2. Step 2: Convert to fraction form
    181,040.94/249,829.11 = 100,471.86/x
  3. Step 3: Cross multiply
    181,040.94x = 249,829.11 × 100,471.86
  4. Step 4: Simplify right side
    181,040.94x = 25,100,795,363.84
  5. Step 5: Solve for x
    x = 25,100,795,363.84/181,040.94
  6. Step 6: Final answer
    x = 138,647.07

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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.