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Finding the Fourth Proportional to 361,533.16, 542,345.10 and 108,774.28

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Solution

The fourth proportional to 361,533.16, 542,345.10 and 108,774.28 is: 163,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,533.16 : 542,345.10 = 108,774.28 : x
  2. Step 2: Convert to fraction form
    361,533.16/542,345.10 = 108,774.28/x
  3. Step 3: Cross multiply
    361,533.16x = 542,345.10 × 108,774.28
  4. Step 4: Simplify right side
    361,533.16x = 58,993,197,764.03
  5. Step 5: Solve for x
    x = 58,993,197,764.03/361,533.16
  6. Step 6: Final answer
    x = 163,175.07

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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.