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Finding the Fourth Proportional to 287,075.34, 396,157.23 and 159,748.20

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Solution

The fourth proportional to 287,075.34, 396,157.23 and 159,748.20 is: 220,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,075.34 : 396,157.23 = 159,748.20 : x
  2. Step 2: Convert to fraction form
    287,075.34/396,157.23 = 159,748.20/x
  3. Step 3: Cross multiply
    287,075.34x = 396,157.23 × 159,748.20
  4. Step 4: Simplify right side
    287,075.34x = 63,285,404,409.49
  5. Step 5: Solve for x
    x = 63,285,404,409.49/287,075.34
  6. Step 6: Final answer
    x = 220,448.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.