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Finding the Fourth Proportional to 162,323.10, 243,319.05 and 109,737.90

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Solution

The fourth proportional to 162,323.10, 243,319.05 and 109,737.90 is: 164,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,323.10 : 243,319.05 = 109,737.90 : x
  2. Step 2: Convert to fraction form
    162,323.10/243,319.05 = 109,737.90/x
  3. Step 3: Cross multiply
    162,323.10x = 243,319.05 × 109,737.90
  4. Step 4: Simplify right side
    162,323.10x = 26,701,321,577.00
  5. Step 5: Solve for x
    x = 26,701,321,577.00/162,323.10
  6. Step 6: Final answer
    x = 164,494.90

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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.