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Finding the Fourth Proportional to 137,085.32, 205,632.04 and 37,245

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Solution

The fourth proportional to 137,085.32, 205,632.04 and 37,245 is: 55,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085.32 : 205,632.04 = 37,245 : x
  2. Step 2: Convert to fraction form
    137,085.32/205,632.04 = 37,245/x
  3. Step 3: Cross multiply
    137,085.32x = 205,632.04 × 37,245
  4. Step 4: Simplify right side
    137,085.32x = 7,658,765,329.80
  5. Step 5: Solve for x
    x = 7,658,765,329.80/137,085.32
  6. Step 6: Final answer
    x = 55,868.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.