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Finding the Fourth Proportional to 180,903.90, 271,368.81 and 47,782.83

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Solution

The fourth proportional to 180,903.90, 271,368.81 and 47,782.83 is: 71,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903.90 : 271,368.81 = 47,782.83 : x
  2. Step 2: Convert to fraction form
    180,903.90/271,368.81 = 47,782.83/x
  3. Step 3: Cross multiply
    180,903.90x = 271,368.81 × 47,782.83
  4. Step 4: Simplify right side
    180,903.90x = 12,966,769,715.53
  5. Step 5: Solve for x
    x = 12,966,769,715.53/180,903.90
  6. Step 6: Final answer
    x = 71,677.67

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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.