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Finding the Fourth Proportional to 104,829.80, 157,014.30 and 102,525.80

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Solution

The fourth proportional to 104,829.80, 157,014.30 and 102,525.80 is: 153,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,829.80 : 157,014.30 = 102,525.80 : x
  2. Step 2: Convert to fraction form
    104,829.80/157,014.30 = 102,525.80/x
  3. Step 3: Cross multiply
    104,829.80x = 157,014.30 × 102,525.80
  4. Step 4: Simplify right side
    104,829.80x = 16,098,016,718.94
  5. Step 5: Solve for x
    x = 16,098,016,718.94/104,829.80
  6. Step 6: Final answer
    x = 153,563.36

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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.