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Finding the Fourth Proportional to 265,516.98, 398,111.67 and 130,409.22

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Solution

The fourth proportional to 265,516.98, 398,111.67 and 130,409.22 is: 195,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,516.98 : 398,111.67 = 130,409.22 : x
  2. Step 2: Convert to fraction form
    265,516.98/398,111.67 = 130,409.22/x
  3. Step 3: Cross multiply
    265,516.98x = 398,111.67 × 130,409.22
  4. Step 4: Simplify right side
    265,516.98x = 51,917,432,357.60
  5. Step 5: Solve for x
    x = 51,917,432,357.60/265,516.98
  6. Step 6: Final answer
    x = 195,533.38

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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.