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Finding the Fourth Proportional to 101,147.90, 151,729.16 and 38,818.40

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Solution

The fourth proportional to 101,147.90, 151,729.16 and 38,818.40 is: 58,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,147.90 : 151,729.16 = 38,818.40 : x
  2. Step 2: Convert to fraction form
    101,147.90/151,729.16 = 38,818.40/x
  3. Step 3: Cross multiply
    101,147.90x = 151,729.16 × 38,818.40
  4. Step 4: Simplify right side
    101,147.90x = 5,889,882,271.81
  5. Step 5: Solve for x
    x = 5,889,882,271.81/101,147.90
  6. Step 6: Final answer
    x = 58,230.40

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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.