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Finding the Fourth Proportional to 154,008.40, 231,199.80 and 97,848.40

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Solution

The fourth proportional to 154,008.40, 231,199.80 and 97,848.40 is: 146,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,008.40 : 231,199.80 = 97,848.40 : x
  2. Step 2: Convert to fraction form
    154,008.40/231,199.80 = 97,848.40/x
  3. Step 3: Cross multiply
    154,008.40x = 231,199.80 × 97,848.40
  4. Step 4: Simplify right side
    154,008.40x = 22,622,530,510.32
  5. Step 5: Solve for x
    x = 22,622,530,510.32/154,008.40
  6. Step 6: Final answer
    x = 146,891.54

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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.