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Finding the Fourth Proportional to 164,003.80, 246,063.30 and 70,538.20

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Solution

The fourth proportional to 164,003.80, 246,063.30 and 70,538.20 is: 105,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,003.80 : 246,063.30 = 70,538.20 : x
  2. Step 2: Convert to fraction form
    164,003.80/246,063.30 = 70,538.20/x
  3. Step 3: Cross multiply
    164,003.80x = 246,063.30 × 70,538.20
  4. Step 4: Simplify right side
    164,003.80x = 17,356,862,268.06
  5. Step 5: Solve for x
    x = 17,356,862,268.06/164,003.80
  6. Step 6: Final answer
    x = 105,832.07

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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.