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Finding the Fourth Proportional to 114,052.98, 171,089.04 and 42,025.50

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Solution

The fourth proportional to 114,052.98, 171,089.04 and 42,025.50 is: 63,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,052.98 : 171,089.04 = 42,025.50 : x
  2. Step 2: Convert to fraction form
    114,052.98/171,089.04 = 42,025.50/x
  3. Step 3: Cross multiply
    114,052.98x = 171,089.04 × 42,025.50
  4. Step 4: Simplify right side
    114,052.98x = 7,190,102,450.52
  5. Step 5: Solve for x
    x = 7,190,102,450.52/114,052.98
  6. Step 6: Final answer
    x = 63,041.78

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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.