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Finding the Fourth Proportional to 361,683.48, 542,630.76 and 161,957.16

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Solution

The fourth proportional to 361,683.48, 542,630.76 and 161,957.16 is: 242,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,683.48 : 542,630.76 = 161,957.16 : x
  2. Step 2: Convert to fraction form
    361,683.48/542,630.76 = 161,957.16/x
  3. Step 3: Cross multiply
    361,683.48x = 542,630.76 × 161,957.16
  4. Step 4: Simplify right side
    361,683.48x = 87,882,936,818.24
  5. Step 5: Solve for x
    x = 87,882,936,818.24/361,683.48
  6. Step 6: Final answer
    x = 242,983.00

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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.