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Finding the Fourth Proportional to 154,536, 213,259.68 and 83,880

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Solution

The fourth proportional to 154,536, 213,259.68 and 83,880 is: 115,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,536 : 213,259.68 = 83,880 : x
  2. Step 2: Convert to fraction form
    154,536/213,259.68 = 83,880/x
  3. Step 3: Cross multiply
    154,536x = 213,259.68 × 83,880
  4. Step 4: Simplify right side
    154,536x = 17,888,221,958.40
  5. Step 5: Solve for x
    x = 17,888,221,958.40/154,536
  6. Step 6: Final answer
    x = 115,754.40

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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.