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Finding the Fourth Proportional to 287,228.71, 396,368.47 and 158,166.18

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Solution

The fourth proportional to 287,228.71, 396,368.47 and 158,166.18 is: 218,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,228.71 : 396,368.47 = 158,166.18 : x
  2. Step 2: Convert to fraction form
    287,228.71/396,368.47 = 158,166.18/x
  3. Step 3: Cross multiply
    287,228.71x = 396,368.47 × 158,166.18
  4. Step 4: Simplify right side
    287,228.71x = 62,692,086,970.05
  5. Step 5: Solve for x
    x = 62,692,086,970.05/287,228.71
  6. Step 6: Final answer
    x = 218,265.39

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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.