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Finding the Fourth Proportional to 214,574.32, 322,073.30 and 161,080.30

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Solution

The fourth proportional to 214,574.32, 322,073.30 and 161,080.30 is: 241,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574.32 : 322,073.30 = 161,080.30 : x
  2. Step 2: Convert to fraction form
    214,574.32/322,073.30 = 161,080.30/x
  3. Step 3: Cross multiply
    214,574.32x = 322,073.30 × 161,080.30
  4. Step 4: Simplify right side
    214,574.32x = 51,879,663,785.99
  5. Step 5: Solve for x
    x = 51,879,663,785.99/214,574.32
  6. Step 6: Final answer
    x = 241,779.46

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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.