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Finding the Fourth Proportional to 214,213.46, 295,603.89 and 118,719.32

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Solution

The fourth proportional to 214,213.46, 295,603.89 and 118,719.32 is: 163,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.46 : 295,603.89 = 118,719.32 : x
  2. Step 2: Convert to fraction form
    214,213.46/295,603.89 = 118,719.32/x
  3. Step 3: Cross multiply
    214,213.46x = 295,603.89 × 118,719.32
  4. Step 4: Simplify right side
    214,213.46x = 35,093,892,810.15
  5. Step 5: Solve for x
    x = 35,093,892,810.15/214,213.46
  6. Step 6: Final answer
    x = 163,826.74

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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.