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Finding the Fourth Proportional to 171,870.30, 257,805.45 and 72,003.78

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Solution

The fourth proportional to 171,870.30, 257,805.45 and 72,003.78 is: 108,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,870.30 : 257,805.45 = 72,003.78 : x
  2. Step 2: Convert to fraction form
    171,870.30/257,805.45 = 72,003.78/x
  3. Step 3: Cross multiply
    171,870.30x = 257,805.45 × 72,003.78
  4. Step 4: Simplify right side
    171,870.30x = 18,562,966,904.60
  5. Step 5: Solve for x
    x = 18,562,966,904.60/171,870.30
  6. Step 6: Final answer
    x = 108,005.67

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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.