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Finding the Fourth Proportional to 214,435.62, 295,956.59 and 118,973.07

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Solution

The fourth proportional to 214,435.62, 295,956.59 and 118,973.07 is: 164,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,435.62 : 295,956.59 = 118,973.07 : x
  2. Step 2: Convert to fraction form
    214,435.62/295,956.59 = 118,973.07/x
  3. Step 3: Cross multiply
    214,435.62x = 295,956.59 × 118,973.07
  4. Step 4: Simplify right side
    214,435.62x = 35,210,863,504.17
  5. Step 5: Solve for x
    x = 35,210,863,504.17/214,435.62
  6. Step 6: Final answer
    x = 164,202.49

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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.