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Finding the Fourth Proportional to 204,437.40, 306,656.10 and 104,564.40

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Solution

The fourth proportional to 204,437.40, 306,656.10 and 104,564.40 is: 156,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,437.40 : 306,656.10 = 104,564.40 : x
  2. Step 2: Convert to fraction form
    204,437.40/306,656.10 = 104,564.40/x
  3. Step 3: Cross multiply
    204,437.40x = 306,656.10 × 104,564.40
  4. Step 4: Simplify right side
    204,437.40x = 32,065,311,102.84
  5. Step 5: Solve for x
    x = 32,065,311,102.84/204,437.40
  6. Step 6: Final answer
    x = 156,846.60

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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.