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Finding the Fourth Proportional to 160,338.56, 240,562.96 and 71,653.28

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Solution

The fourth proportional to 160,338.56, 240,562.96 and 71,653.28 is: 107,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,338.56 : 240,562.96 = 71,653.28 : x
  2. Step 2: Convert to fraction form
    160,338.56/240,562.96 = 71,653.28/x
  3. Step 3: Cross multiply
    160,338.56x = 240,562.96 × 71,653.28
  4. Step 4: Simplify right side
    160,338.56x = 17,237,125,130.51
  5. Step 5: Solve for x
    x = 17,237,125,130.51/160,338.56
  6. Step 6: Final answer
    x = 107,504.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.