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Finding the Fourth Proportional to 120,595.87, 180,894.62 and 36,356.28

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Solution

The fourth proportional to 120,595.87, 180,894.62 and 36,356.28 is: 54,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,595.87 : 180,894.62 = 36,356.28 : x
  2. Step 2: Convert to fraction form
    120,595.87/180,894.62 = 36,356.28/x
  3. Step 3: Cross multiply
    120,595.87x = 180,894.62 × 36,356.28
  4. Step 4: Simplify right side
    120,595.87x = 6,576,655,455.21
  5. Step 5: Solve for x
    x = 6,576,655,455.21/120,595.87
  6. Step 6: Final answer
    x = 54,534.67

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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.