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Finding the Fourth Proportional to 122,095.20, 182,851.20 and 98,767.20

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Solution

The fourth proportional to 122,095.20, 182,851.20 and 98,767.20 is: 147,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,095.20 : 182,851.20 = 98,767.20 : x
  2. Step 2: Convert to fraction form
    122,095.20/182,851.20 = 98,767.20/x
  3. Step 3: Cross multiply
    122,095.20x = 182,851.20 × 98,767.20
  4. Step 4: Simplify right side
    122,095.20x = 18,059,701,040.64
  5. Step 5: Solve for x
    x = 18,059,701,040.64/122,095.20
  6. Step 6: Final answer
    x = 147,914.91

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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.