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Finding the Fourth Proportional to 108,222.84, 162,343.44 and 28,271.40

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Solution

The fourth proportional to 108,222.84, 162,343.44 and 28,271.40 is: 42,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,222.84 : 162,343.44 = 28,271.40 : x
  2. Step 2: Convert to fraction form
    108,222.84/162,343.44 = 28,271.40/x
  3. Step 3: Cross multiply
    108,222.84x = 162,343.44 × 28,271.40
  4. Step 4: Simplify right side
    108,222.84x = 4,589,676,329.62
  5. Step 5: Solve for x
    x = 4,589,676,329.62/108,222.84
  6. Step 6: Final answer
    x = 42,409.50

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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.