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Finding the Fourth Proportional to 282,594.84, 389,979.66 and 161,735.48

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Solution

The fourth proportional to 282,594.84, 389,979.66 and 161,735.48 is: 223,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,594.84 : 389,979.66 = 161,735.48 : x
  2. Step 2: Convert to fraction form
    282,594.84/389,979.66 = 161,735.48/x
  3. Step 3: Cross multiply
    282,594.84x = 389,979.66 × 161,735.48
  4. Step 4: Simplify right side
    282,594.84x = 63,073,547,500.34
  5. Step 5: Solve for x
    x = 63,073,547,500.34/282,594.84
  6. Step 6: Final answer
    x = 223,194.26

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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.