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Finding the Fourth Proportional to 265,576.81, 398,364.13 and 107,803.93

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Solution

The fourth proportional to 265,576.81, 398,364.13 and 107,803.93 is: 161,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,576.81 : 398,364.13 = 107,803.93 : x
  2. Step 2: Convert to fraction form
    265,576.81/398,364.13 = 107,803.93/x
  3. Step 3: Cross multiply
    265,576.81x = 398,364.13 × 107,803.93
  4. Step 4: Simplify right side
    265,576.81x = 42,945,218,785.03
  5. Step 5: Solve for x
    x = 42,945,218,785.03/265,576.81
  6. Step 6: Final answer
    x = 161,705.45

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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.