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Finding the Fourth Proportional to 104,364, 144,022.32 and 59,652.96

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Solution

The fourth proportional to 104,364, 144,022.32 and 59,652.96 is: 82,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,364 : 144,022.32 = 59,652.96 : x
  2. Step 2: Convert to fraction form
    104,364/144,022.32 = 59,652.96/x
  3. Step 3: Cross multiply
    104,364x = 144,022.32 × 59,652.96
  4. Step 4: Simplify right side
    104,364x = 8,591,357,694.07
  5. Step 5: Solve for x
    x = 8,591,357,694.07/104,364
  6. Step 6: Final answer
    x = 82,321.08

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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.