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Finding the Fourth Proportional to 282,194.74, 389,317.88 and 161,271.16

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Solution

The fourth proportional to 282,194.74, 389,317.88 and 161,271.16 is: 222,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,194.74 : 389,317.88 = 161,271.16 : x
  2. Step 2: Convert to fraction form
    282,194.74/389,317.88 = 161,271.16/x
  3. Step 3: Cross multiply
    282,194.74x = 389,317.88 × 161,271.16
  4. Step 4: Simplify right side
    282,194.74x = 62,785,746,116.34
  5. Step 5: Solve for x
    x = 62,785,746,116.34/282,194.74
  6. Step 6: Final answer
    x = 222,490.84

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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.