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Finding the Fourth Proportional to 301,966.65, 416,754.32 and 194,848.07

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Solution

The fourth proportional to 301,966.65, 416,754.32 and 194,848.07 is: 268,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,966.65 : 416,754.32 = 194,848.07 : x
  2. Step 2: Convert to fraction form
    301,966.65/416,754.32 = 194,848.07/x
  3. Step 3: Cross multiply
    301,966.65x = 416,754.32 × 194,848.07
  4. Step 4: Simplify right side
    301,966.65x = 81,203,771,858.15
  5. Step 5: Solve for x
    x = 81,203,771,858.15/301,966.65
  6. Step 6: Final answer
    x = 268,916.36

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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.