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Finding the Fourth Proportional to 212,873.16, 293,763.06 and 117,380.64

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Solution

The fourth proportional to 212,873.16, 293,763.06 and 117,380.64 is: 161,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,873.16 : 293,763.06 = 117,380.64 : x
  2. Step 2: Convert to fraction form
    212,873.16/293,763.06 = 117,380.64/x
  3. Step 3: Cross multiply
    212,873.16x = 293,763.06 × 117,380.64
  4. Step 4: Simplify right side
    212,873.16x = 34,482,095,991.16
  5. Step 5: Solve for x
    x = 34,482,095,991.16/212,873.16
  6. Step 6: Final answer
    x = 161,984.24

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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.