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Finding the Fourth Proportional to 162,326.60, 243,324.30 and 109,741.40

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Solution

The fourth proportional to 162,326.60, 243,324.30 and 109,741.40 is: 164,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,326.60 : 243,324.30 = 109,741.40 : x
  2. Step 2: Convert to fraction form
    162,326.60/243,324.30 = 109,741.40/x
  3. Step 3: Cross multiply
    162,326.60x = 243,324.30 × 109,741.40
  4. Step 4: Simplify right side
    162,326.60x = 26,702,749,336.02
  5. Step 5: Solve for x
    x = 26,702,749,336.02/162,326.60
  6. Step 6: Final answer
    x = 164,500.15

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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.