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Finding the Fourth Proportional to 180,401.83, 248,950.80 and 99,829.30

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Solution

The fourth proportional to 180,401.83, 248,950.80 and 99,829.30 is: 137,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,401.83 : 248,950.80 = 99,829.30 : x
  2. Step 2: Convert to fraction form
    180,401.83/248,950.80 = 99,829.30/x
  3. Step 3: Cross multiply
    180,401.83x = 248,950.80 × 99,829.30
  4. Step 4: Simplify right side
    180,401.83x = 24,852,584,098.44
  5. Step 5: Solve for x
    x = 24,852,584,098.44/180,401.83
  6. Step 6: Final answer
    x = 137,762.37

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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.