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Finding the Fourth Proportional to 214,371.70, 295,813.56 and 118,878.10

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Solution

The fourth proportional to 214,371.70, 295,813.56 and 118,878.10 is: 164,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,371.70 : 295,813.56 = 118,878.10 : x
  2. Step 2: Convert to fraction form
    214,371.70/295,813.56 = 118,878.10/x
  3. Step 3: Cross multiply
    214,371.70x = 295,813.56 × 118,878.10
  4. Step 4: Simplify right side
    214,371.70x = 35,165,753,967.04
  5. Step 5: Solve for x
    x = 35,165,753,967.04/214,371.70
  6. Step 6: Final answer
    x = 164,041.03

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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.