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Finding the Fourth Proportional to 180,596.04, 270,803.02 and 105,738.76

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Solution

The fourth proportional to 180,596.04, 270,803.02 and 105,738.76 is: 158,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,596.04 : 270,803.02 = 105,738.76 : x
  2. Step 2: Convert to fraction form
    180,596.04/270,803.02 = 105,738.76/x
  3. Step 3: Cross multiply
    180,596.04x = 270,803.02 × 105,738.76
  4. Step 4: Simplify right side
    180,596.04x = 28,634,375,539.06
  5. Step 5: Solve for x
    x = 28,634,375,539.06/180,596.04
  6. Step 6: Final answer
    x = 158,554.84

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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.