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Finding the Fourth Proportional to 162,467.56, 224,140.26 and 102,817

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Solution

The fourth proportional to 162,467.56, 224,140.26 and 102,817 is: 141,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,467.56 : 224,140.26 = 102,817 : x
  2. Step 2: Convert to fraction form
    162,467.56/224,140.26 = 102,817/x
  3. Step 3: Cross multiply
    162,467.56x = 224,140.26 × 102,817
  4. Step 4: Simplify right side
    162,467.56x = 23,045,429,112.42
  5. Step 5: Solve for x
    x = 23,045,429,112.42/162,467.56
  6. Step 6: Final answer
    x = 141,846.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.