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Finding the Fourth Proportional to 76,178.34, 114,341.22 and 36,763.20

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Solution

The fourth proportional to 76,178.34, 114,341.22 and 36,763.20 is: 55,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.34 : 114,341.22 = 36,763.20 : x
  2. Step 2: Convert to fraction form
    76,178.34/114,341.22 = 36,763.20/x
  3. Step 3: Cross multiply
    76,178.34x = 114,341.22 × 36,763.20
  4. Step 4: Simplify right side
    76,178.34x = 4,203,549,139.10
  5. Step 5: Solve for x
    x = 4,203,549,139.10/76,178.34
  6. Step 6: Final answer
    x = 55,180.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.