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Finding the Fourth Proportional to 207,893.42, 311,701.89 and 114,443.18

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Solution

The fourth proportional to 207,893.42, 311,701.89 and 114,443.18 is: 171,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,893.42 : 311,701.89 = 114,443.18 : x
  2. Step 2: Convert to fraction form
    207,893.42/311,701.89 = 114,443.18/x
  3. Step 3: Cross multiply
    207,893.42x = 311,701.89 × 114,443.18
  4. Step 4: Simplify right side
    207,893.42x = 35,672,155,503.61
  5. Step 5: Solve for x
    x = 35,672,155,503.61/207,893.42
  6. Step 6: Final answer
    x = 171,588.67

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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.