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Finding the Fourth Proportional to 361,783.18, 542,780.88 and 162,059.14

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Solution

The fourth proportional to 361,783.18, 542,780.88 and 162,059.14 is: 243,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,783.18 : 542,780.88 = 162,059.14 : x
  2. Step 2: Convert to fraction form
    361,783.18/542,780.88 = 162,059.14/x
  3. Step 3: Cross multiply
    361,783.18x = 542,780.88 × 162,059.14
  4. Step 4: Simplify right side
    361,783.18x = 87,962,602,621.24
  5. Step 5: Solve for x
    x = 87,962,602,621.24/361,783.18
  6. Step 6: Final answer
    x = 243,136.24

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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.