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Finding the Fourth Proportional to 191,511.44, 287,213.68 and 114,524.16

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Solution

The fourth proportional to 191,511.44, 287,213.68 and 114,524.16 is: 171,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,511.44 : 287,213.68 = 114,524.16 : x
  2. Step 2: Convert to fraction form
    191,511.44/287,213.68 = 114,524.16/x
  3. Step 3: Cross multiply
    191,511.44x = 287,213.68 × 114,524.16
  4. Step 4: Simplify right side
    191,511.44x = 32,892,905,442.51
  5. Step 5: Solve for x
    x = 32,892,905,442.51/191,511.44
  6. Step 6: Final answer
    x = 171,754.26

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1.5x scale

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.