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Finding the Fourth Proportional to 265,576.06, 398,363 and 107,803.18

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Solution

The fourth proportional to 265,576.06, 398,363 and 107,803.18 is: 161,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,576.06 : 398,363 = 107,803.18 : x
  2. Step 2: Convert to fraction form
    265,576.06/398,363 = 107,803.18/x
  3. Step 3: Cross multiply
    265,576.06x = 398,363 × 107,803.18
  4. Step 4: Simplify right side
    265,576.06x = 42,944,798,194.34
  5. Step 5: Solve for x
    x = 42,944,798,194.34/265,576.06
  6. Step 6: Final answer
    x = 161,704.33

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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.