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Finding the Fourth Proportional to 84,141, 116,116.02 and 54,384.84

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Solution

The fourth proportional to 84,141, 116,116.02 and 54,384.84 is: 75,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141 : 116,116.02 = 54,384.84 : x
  2. Step 2: Convert to fraction form
    84,141/116,116.02 = 54,384.84/x
  3. Step 3: Cross multiply
    84,141x = 116,116.02 × 54,384.84
  4. Step 4: Simplify right side
    84,141x = 6,314,951,169.14
  5. Step 5: Solve for x
    x = 6,314,951,169.14/84,141
  6. Step 6: Final answer
    x = 75,052.01

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1.5x scale

Why These Related Problems?

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