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Finding the Fourth Proportional to 120,886.50, 181,336.23 and 37,786.98

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Solution

The fourth proportional to 120,886.50, 181,336.23 and 37,786.98 is: 56,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,886.50 : 181,336.23 = 37,786.98 : x
  2. Step 2: Convert to fraction form
    120,886.50/181,336.23 = 37,786.98/x
  3. Step 3: Cross multiply
    120,886.50x = 181,336.23 × 37,786.98
  4. Step 4: Simplify right side
    120,886.50x = 6,852,148,496.29
  5. Step 5: Solve for x
    x = 6,852,148,496.29/120,886.50
  6. Step 6: Final answer
    x = 56,682.50

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1.5x scale

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.