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Finding the Fourth Proportional to 160,835.49, 241,096.38 and 76,573

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Solution

The fourth proportional to 160,835.49, 241,096.38 and 76,573 is: 114,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,835.49 : 241,096.38 = 76,573 : x
  2. Step 2: Convert to fraction form
    160,835.49/241,096.38 = 76,573/x
  3. Step 3: Cross multiply
    160,835.49x = 241,096.38 × 76,573
  4. Step 4: Simplify right side
    160,835.49x = 18,461,473,105.74
  5. Step 5: Solve for x
    x = 18,461,473,105.74/160,835.49
  6. Step 6: Final answer
    x = 114,784.82

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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.