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Finding the Fourth Proportional to 109,846.80, 164,575.80 and 102,848.40

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Solution

The fourth proportional to 109,846.80, 164,575.80 and 102,848.40 is: 154,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,846.80 : 164,575.80 = 102,848.40 : x
  2. Step 2: Convert to fraction form
    109,846.80/164,575.80 = 102,848.40/x
  3. Step 3: Cross multiply
    109,846.80x = 164,575.80 × 102,848.40
  4. Step 4: Simplify right side
    109,846.80x = 16,926,357,708.72
  5. Step 5: Solve for x
    x = 16,926,357,708.72/109,846.80
  6. Step 6: Final answer
    x = 154,090.59

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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.