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Finding the Fourth Proportional to 361,904.10, 542,856.15 and 162,012.30

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Solution

The fourth proportional to 361,904.10, 542,856.15 and 162,012.30 is: 243,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,904.10 : 542,856.15 = 162,012.30 : x
  2. Step 2: Convert to fraction form
    361,904.10/542,856.15 = 162,012.30/x
  3. Step 3: Cross multiply
    361,904.10x = 542,856.15 × 162,012.30
  4. Step 4: Simplify right side
    361,904.10x = 87,949,373,430.65
  5. Step 5: Solve for x
    x = 87,949,373,430.65/361,904.10
  6. Step 6: Final answer
    x = 243,018.45

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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.