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Finding the Fourth Proportional to 130,842, 180,561.96 and 71,226

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Solution

The fourth proportional to 130,842, 180,561.96 and 71,226 is: 98,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 180,561.96 = 71,226 : x
  2. Step 2: Convert to fraction form
    130,842/180,561.96 = 71,226/x
  3. Step 3: Cross multiply
    130,842x = 180,561.96 × 71,226
  4. Step 4: Simplify right side
    130,842x = 12,860,706,162.96
  5. Step 5: Solve for x
    x = 12,860,706,162.96/130,842
  6. Step 6: Final answer
    x = 98,291.88

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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.