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Finding the Fourth Proportional to 137,074.77, 205,612.16 and 37,234.98

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Solution

The fourth proportional to 137,074.77, 205,612.16 and 37,234.98 is: 55,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.77 : 205,612.16 = 37,234.98 : x
  2. Step 2: Convert to fraction form
    137,074.77/205,612.16 = 37,234.98/x
  3. Step 3: Cross multiply
    137,074.77x = 205,612.16 × 37,234.98
  4. Step 4: Simplify right side
    137,074.77x = 7,655,964,479.18
  5. Step 5: Solve for x
    x = 7,655,964,479.18/137,074.77
  6. Step 6: Final answer
    x = 55,852.47

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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.