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Finding the Fourth Proportional to 122,708.80, 184,063.20 and 100,547.20

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Solution

The fourth proportional to 122,708.80, 184,063.20 and 100,547.20 is: 150,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708.80 : 184,063.20 = 100,547.20 : x
  2. Step 2: Convert to fraction form
    122,708.80/184,063.20 = 100,547.20/x
  3. Step 3: Cross multiply
    122,708.80x = 184,063.20 × 100,547.20
  4. Step 4: Simplify right side
    122,708.80x = 18,507,039,383.04
  5. Step 5: Solve for x
    x = 18,507,039,383.04/122,708.80
  6. Step 6: Final answer
    x = 150,820.80

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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.