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Finding the Fourth Proportional to 146,871.63, 202,678.20 and 86,428.35

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Solution

The fourth proportional to 146,871.63, 202,678.20 and 86,428.35 is: 119,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,871.63 : 202,678.20 = 86,428.35 : x
  2. Step 2: Convert to fraction form
    146,871.63/202,678.20 = 86,428.35/x
  3. Step 3: Cross multiply
    146,871.63x = 202,678.20 × 86,428.35
  4. Step 4: Simplify right side
    146,871.63x = 17,517,142,406.97
  5. Step 5: Solve for x
    x = 17,517,142,406.97/146,871.63
  6. Step 6: Final answer
    x = 119,268.39

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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.