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Finding the Fourth Proportional to 162,145.44, 243,206.16 and 56,965.44

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Solution

The fourth proportional to 162,145.44, 243,206.16 and 56,965.44 is: 85,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,145.44 : 243,206.16 = 56,965.44 : x
  2. Step 2: Convert to fraction form
    162,145.44/243,206.16 = 56,965.44/x
  3. Step 3: Cross multiply
    162,145.44x = 243,206.16 × 56,965.44
  4. Step 4: Simplify right side
    162,145.44x = 13,854,345,915.11
  5. Step 5: Solve for x
    x = 13,854,345,915.11/162,145.44
  6. Step 6: Final answer
    x = 85,443.94

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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.