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Finding the Fourth Proportional to 214,508.64, 296,057.44 and 119,046

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Solution

The fourth proportional to 214,508.64, 296,057.44 and 119,046 is: 164,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,508.64 : 296,057.44 = 119,046 : x
  2. Step 2: Convert to fraction form
    214,508.64/296,057.44 = 119,046/x
  3. Step 3: Cross multiply
    214,508.64x = 296,057.44 × 119,046
  4. Step 4: Simplify right side
    214,508.64x = 35,244,454,002.24
  5. Step 5: Solve for x
    x = 35,244,454,002.24/214,508.64
  6. Step 6: Final answer
    x = 164,303.19

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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.