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Finding the Fourth Proportional to 361,243.24, 542,197.50 and 183,877

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Solution

The fourth proportional to 361,243.24, 542,197.50 and 183,877 is: 275,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,243.24 : 542,197.50 = 183,877 : x
  2. Step 2: Convert to fraction form
    361,243.24/542,197.50 = 183,877/x
  3. Step 3: Cross multiply
    361,243.24x = 542,197.50 × 183,877
  4. Step 4: Simplify right side
    361,243.24x = 99,697,649,707.50
  5. Step 5: Solve for x
    x = 99,697,649,707.50/361,243.24
  6. Step 6: Final answer
    x = 275,984.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.