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Finding the Fourth Proportional to 214,730.80, 322,096.20 and 191,111.20

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Solution

The fourth proportional to 214,730.80, 322,096.20 and 191,111.20 is: 286,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,730.80 : 322,096.20 = 191,111.20 : x
  2. Step 2: Convert to fraction form
    214,730.80/322,096.20 = 191,111.20/x
  3. Step 3: Cross multiply
    214,730.80x = 322,096.20 × 191,111.20
  4. Step 4: Simplify right side
    214,730.80x = 61,556,191,297.44
  5. Step 5: Solve for x
    x = 61,556,191,297.44/214,730.80
  6. Step 6: Final answer
    x = 286,666.80

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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.