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Finding the Fourth Proportional to 109,303.68, 164,023.44 and 98,786.40

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Solution

The fourth proportional to 109,303.68, 164,023.44 and 98,786.40 is: 148,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,303.68 : 164,023.44 = 98,786.40 : x
  2. Step 2: Convert to fraction form
    109,303.68/164,023.44 = 98,786.40/x
  3. Step 3: Cross multiply
    109,303.68x = 164,023.44 × 98,786.40
  4. Step 4: Simplify right side
    109,303.68x = 16,203,285,153.22
  5. Step 5: Solve for x
    x = 16,203,285,153.22/109,303.68
  6. Step 6: Final answer
    x = 148,240.98

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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.