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Finding the Fourth Proportional to 108,375.40, 162,246.30 and 77,271.40

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Solution

The fourth proportional to 108,375.40, 162,246.30 and 77,271.40 is: 115,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,375.40 : 162,246.30 = 77,271.40 : x
  2. Step 2: Convert to fraction form
    108,375.40/162,246.30 = 77,271.40/x
  3. Step 3: Cross multiply
    108,375.40x = 162,246.30 × 77,271.40
  4. Step 4: Simplify right side
    108,375.40x = 12,536,998,745.82
  5. Step 5: Solve for x
    x = 12,536,998,745.82/108,375.40
  6. Step 6: Final answer
    x = 115,681.22

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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.