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Finding the Fourth Proportional to 102,694.74, 153,790.51 and 84,816.01

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Solution

The fourth proportional to 102,694.74, 153,790.51 and 84,816.01 is: 127,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,694.74 : 153,790.51 = 84,816.01 : x
  2. Step 2: Convert to fraction form
    102,694.74/153,790.51 = 84,816.01/x
  3. Step 3: Cross multiply
    102,694.74x = 153,790.51 × 84,816.01
  4. Step 4: Simplify right side
    102,694.74x = 13,043,897,434.07
  5. Step 5: Solve for x
    x = 13,043,897,434.07/102,694.74
  6. Step 6: Final answer
    x = 127,016.22

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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.