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Finding the Fourth Proportional to 160,130.32, 240,137.88 and 54,922

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Solution

The fourth proportional to 160,130.32, 240,137.88 and 54,922 is: 82,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,130.32 : 240,137.88 = 54,922 : x
  2. Step 2: Convert to fraction form
    160,130.32/240,137.88 = 54,922/x
  3. Step 3: Cross multiply
    160,130.32x = 240,137.88 × 54,922
  4. Step 4: Simplify right side
    160,130.32x = 13,188,852,645.36
  5. Step 5: Solve for x
    x = 13,188,852,645.36/160,130.32
  6. Step 6: Final answer
    x = 82,363.24

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