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Finding the Fourth Proportional to 154,648.01, 231,806.16 and 101,319.83

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Solution

The fourth proportional to 154,648.01, 231,806.16 and 101,319.83 is: 151,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,648.01 : 231,806.16 = 101,319.83 : x
  2. Step 2: Convert to fraction form
    154,648.01/231,806.16 = 101,319.83/x
  3. Step 3: Cross multiply
    154,648.01x = 231,806.16 × 101,319.83
  4. Step 4: Simplify right side
    154,648.01x = 23,486,561,303.67
  5. Step 5: Solve for x
    x = 23,486,561,303.67/154,648.01
  6. Step 6: Final answer
    x = 151,871.09

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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.