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Finding the Fourth Proportional to 102,405.98, 153,678.18 and 35,846.76

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Solution

The fourth proportional to 102,405.98, 153,678.18 and 35,846.76 is: 53,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.98 : 153,678.18 = 35,846.76 : x
  2. Step 2: Convert to fraction form
    102,405.98/153,678.18 = 35,846.76/x
  3. Step 3: Cross multiply
    102,405.98x = 153,678.18 × 35,846.76
  4. Step 4: Simplify right side
    102,405.98x = 5,508,864,835.70
  5. Step 5: Solve for x
    x = 5,508,864,835.70/102,405.98
  6. Step 6: Final answer
    x = 53,794.37

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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.