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Finding the Fourth Proportional to 154,657, 231,819.66 and 101,328.84

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Solution

The fourth proportional to 154,657, 231,819.66 and 101,328.84 is: 151,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,657 : 231,819.66 = 101,328.84 : x
  2. Step 2: Convert to fraction form
    154,657/231,819.66 = 101,328.84/x
  3. Step 3: Cross multiply
    154,657x = 231,819.66 × 101,328.84
  4. Step 4: Simplify right side
    154,657x = 23,490,017,236.99
  5. Step 5: Solve for x
    x = 23,490,017,236.99/154,657
  6. Step 6: Final answer
    x = 151,884.60

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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.