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Finding the Fourth Proportional to 122,683.20, 184,024.80 and 109,852.80

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Solution

The fourth proportional to 122,683.20, 184,024.80 and 109,852.80 is: 164,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,683.20 : 184,024.80 = 109,852.80 : x
  2. Step 2: Convert to fraction form
    122,683.20/184,024.80 = 109,852.80/x
  3. Step 3: Cross multiply
    122,683.20x = 184,024.80 × 109,852.80
  4. Step 4: Simplify right side
    122,683.20x = 20,215,639,549.44
  5. Step 5: Solve for x
    x = 20,215,639,549.44/122,683.20
  6. Step 6: Final answer
    x = 164,779.20

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1.5x scale

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.