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Finding the Fourth Proportional to 162,140, 223,748.84 and 90,518

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Solution

The fourth proportional to 162,140, 223,748.84 and 90,518 is: 124,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,140 : 223,748.84 = 90,518 : x
  2. Step 2: Convert to fraction form
    162,140/223,748.84 = 90,518/x
  3. Step 3: Cross multiply
    162,140x = 223,748.84 × 90,518
  4. Step 4: Simplify right side
    162,140x = 20,253,297,499.12
  5. Step 5: Solve for x
    x = 20,253,297,499.12/162,140
  6. Step 6: Final answer
    x = 124,912.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.