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Finding the Fourth Proportional to 122,712.80, 184,069.20 and 99,384.80

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Solution

The fourth proportional to 122,712.80, 184,069.20 and 99,384.80 is: 149,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,712.80 : 184,069.20 = 99,384.80 : x
  2. Step 2: Convert to fraction form
    122,712.80/184,069.20 = 99,384.80/x
  3. Step 3: Cross multiply
    122,712.80x = 184,069.20 × 99,384.80
  4. Step 4: Simplify right side
    122,712.80x = 18,293,680,628.16
  5. Step 5: Solve for x
    x = 18,293,680,628.16/122,712.80
  6. Step 6: Final answer
    x = 149,077.20

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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.