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Finding the Fourth Proportional to 212,616.64, 293,409.60 and 117,121.12

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Solution

The fourth proportional to 212,616.64, 293,409.60 and 117,121.12 is: 161,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616.64 : 293,409.60 = 117,121.12 : x
  2. Step 2: Convert to fraction form
    212,616.64/293,409.60 = 117,121.12/x
  3. Step 3: Cross multiply
    212,616.64x = 293,409.60 × 117,121.12
  4. Step 4: Simplify right side
    212,616.64x = 34,364,460,970.75
  5. Step 5: Solve for x
    x = 34,364,460,970.75/212,616.64
  6. Step 6: Final answer
    x = 161,626.39

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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.