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Finding the Fourth Proportional to 271,427.90, 406,947.45 and 113,575.10

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Solution

The fourth proportional to 271,427.90, 406,947.45 and 113,575.10 is: 170,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,427.90 : 406,947.45 = 113,575.10 : x
  2. Step 2: Convert to fraction form
    271,427.90/406,947.45 = 113,575.10/x
  3. Step 3: Cross multiply
    271,427.90x = 406,947.45 × 113,575.10
  4. Step 4: Simplify right side
    271,427.90x = 46,219,097,328.50
  5. Step 5: Solve for x
    x = 46,219,097,328.50/271,427.90
  6. Step 6: Final answer
    x = 170,281.31

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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.