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Finding the Fourth Proportional to 154,400.30, 231,427.65 and 65,638.70

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Solution

The fourth proportional to 154,400.30, 231,427.65 and 65,638.70 is: 98,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,400.30 : 231,427.65 = 65,638.70 : x
  2. Step 2: Convert to fraction form
    154,400.30/231,427.65 = 65,638.70/x
  3. Step 3: Cross multiply
    154,400.30x = 231,427.65 × 65,638.70
  4. Step 4: Simplify right side
    154,400.30x = 15,190,610,090.06
  5. Step 5: Solve for x
    x = 15,190,610,090.06/154,400.30
  6. Step 6: Final answer
    x = 98,384.59

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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.