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Finding the Fourth Proportional to 361,568.34, 542,133.74 and 161,851.50

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Solution

The fourth proportional to 361,568.34, 542,133.74 and 161,851.50 is: 242,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,568.34 : 542,133.74 = 161,851.50 : x
  2. Step 2: Convert to fraction form
    361,568.34/542,133.74 = 161,851.50/x
  3. Step 3: Cross multiply
    361,568.34x = 542,133.74 × 161,851.50
  4. Step 4: Simplify right side
    361,568.34x = 87,745,159,424.24
  5. Step 5: Solve for x
    x = 87,745,159,424.24/361,568.34
  6. Step 6: Final answer
    x = 242,679.32

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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.