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Finding the Fourth Proportional to 154,026.40, 231,226.80 and 97,866.40

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Solution

The fourth proportional to 154,026.40, 231,226.80 and 97,866.40 is: 146,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,026.40 : 231,226.80 = 97,866.40 : x
  2. Step 2: Convert to fraction form
    154,026.40/231,226.80 = 97,866.40/x
  3. Step 3: Cross multiply
    154,026.40x = 231,226.80 × 97,866.40
  4. Step 4: Simplify right side
    154,026.40x = 22,629,334,499.52
  5. Step 5: Solve for x
    x = 22,629,334,499.52/154,026.40
  6. Step 6: Final answer
    x = 146,918.54

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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.