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Finding the Fourth Proportional to 214,712.10, 322,068.15 and 109,736.10

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Solution

The fourth proportional to 214,712.10, 322,068.15 and 109,736.10 is: 164,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,712.10 : 322,068.15 = 109,736.10 : x
  2. Step 2: Convert to fraction form
    214,712.10/322,068.15 = 109,736.10/x
  3. Step 3: Cross multiply
    214,712.10x = 322,068.15 × 109,736.10
  4. Step 4: Simplify right side
    214,712.10x = 35,342,502,715.22
  5. Step 5: Solve for x
    x = 35,342,502,715.22/214,712.10
  6. Step 6: Final answer
    x = 164,604.15

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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.