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Finding the Fourth Proportional to 214,348.32, 295,813.95 and 118,855.02

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Solution

The fourth proportional to 214,348.32, 295,813.95 and 118,855.02 is: 164,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,348.32 : 295,813.95 = 118,855.02 : x
  2. Step 2: Convert to fraction form
    214,348.32/295,813.95 = 118,855.02/x
  3. Step 3: Cross multiply
    214,348.32x = 295,813.95 × 118,855.02
  4. Step 4: Simplify right side
    214,348.32x = 35,158,972,943.53
  5. Step 5: Solve for x
    x = 35,158,972,943.53/214,348.32
  6. Step 6: Final answer
    x = 164,027.28

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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.