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Finding the Fourth Proportional to 122,990.40, 184,226.40 and 102,254.40

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Solution

The fourth proportional to 122,990.40, 184,226.40 and 102,254.40 is: 153,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,990.40 : 184,226.40 = 102,254.40 : x
  2. Step 2: Convert to fraction form
    122,990.40/184,226.40 = 102,254.40/x
  3. Step 3: Cross multiply
    122,990.40x = 184,226.40 × 102,254.40
  4. Step 4: Simplify right side
    122,990.40x = 18,837,959,996.16
  5. Step 5: Solve for x
    x = 18,837,959,996.16/122,990.40
  6. Step 6: Final answer
    x = 153,166.10

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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.