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Finding the Fourth Proportional to 160,071.20, 240,257.46 and 81,242

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Solution

The fourth proportional to 160,071.20, 240,257.46 and 81,242 is: 121,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,071.20 : 240,257.46 = 81,242 : x
  2. Step 2: Convert to fraction form
    160,071.20/240,257.46 = 81,242/x
  3. Step 3: Cross multiply
    160,071.20x = 240,257.46 × 81,242
  4. Step 4: Simplify right side
    160,071.20x = 19,518,996,565.32
  5. Step 5: Solve for x
    x = 19,518,996,565.32/160,071.20
  6. Step 6: Final answer
    x = 121,939.47

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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.