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Finding the Fourth Proportional to 265,907.16, 398,860.74 and 108,098.64

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Solution

The fourth proportional to 265,907.16, 398,860.74 and 108,098.64 is: 162,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,907.16 : 398,860.74 = 108,098.64 : x
  2. Step 2: Convert to fraction form
    265,907.16/398,860.74 = 108,098.64/x
  3. Step 3: Cross multiply
    265,907.16x = 398,860.74 × 108,098.64
  4. Step 4: Simplify right side
    265,907.16x = 43,116,303,543.39
  5. Step 5: Solve for x
    x = 43,116,303,543.39/265,907.16
  6. Step 6: Final answer
    x = 162,147.96

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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.