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Finding the Fourth Proportional to 119,271, 164,420.52 and 83,349.48

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Solution

The fourth proportional to 119,271, 164,420.52 and 83,349.48 is: 114,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,271 : 164,420.52 = 83,349.48 : x
  2. Step 2: Convert to fraction form
    119,271/164,420.52 = 83,349.48/x
  3. Step 3: Cross multiply
    119,271x = 164,420.52 × 83,349.48
  4. Step 4: Simplify right side
    119,271x = 13,704,364,843.33
  5. Step 5: Solve for x
    x = 13,704,364,843.33/119,271
  6. Step 6: Final answer
    x = 114,901.06

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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.