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Finding the Fourth Proportional to 159,097.06, 238,583.07 and 57,871.06

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Solution

The fourth proportional to 159,097.06, 238,583.07 and 57,871.06 is: 86,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,097.06 : 238,583.07 = 57,871.06 : x
  2. Step 2: Convert to fraction form
    159,097.06/238,583.07 = 57,871.06/x
  3. Step 3: Cross multiply
    159,097.06x = 238,583.07 × 57,871.06
  4. Step 4: Simplify right side
    159,097.06x = 13,807,054,562.50
  5. Step 5: Solve for x
    x = 13,807,054,562.50/159,097.06
  6. Step 6: Final answer
    x = 86,783.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.