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Finding the Fourth Proportional to 212,873.36, 293,758.53 and 117,384.08

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Solution

The fourth proportional to 212,873.36, 293,758.53 and 117,384.08 is: 161,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,873.36 : 293,758.53 = 117,384.08 : x
  2. Step 2: Convert to fraction form
    212,873.36/293,758.53 = 117,384.08/x
  3. Step 3: Cross multiply
    212,873.36x = 293,758.53 × 117,384.08
  4. Step 4: Simplify right side
    212,873.36x = 34,482,574,786.20
  5. Step 5: Solve for x
    x = 34,482,574,786.20/212,873.36
  6. Step 6: Final answer
    x = 161,986.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.