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Finding the Fourth Proportional to 312,733.42, 469,100.27 and 76,074.64

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Solution

The fourth proportional to 312,733.42, 469,100.27 and 76,074.64 is: 114,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,733.42 : 469,100.27 = 76,074.64 : x
  2. Step 2: Convert to fraction form
    312,733.42/469,100.27 = 76,074.64/x
  3. Step 3: Cross multiply
    312,733.42x = 469,100.27 × 76,074.64
  4. Step 4: Simplify right side
    312,733.42x = 35,686,634,164.15
  5. Step 5: Solve for x
    x = 35,686,634,164.15/312,733.42
  6. Step 6: Final answer
    x = 114,111.99

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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.