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Finding the Fourth Proportional to 265,883.64, 398,900.82 and 108,225.24

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Solution

The fourth proportional to 265,883.64, 398,900.82 and 108,225.24 is: 162,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,883.64 : 398,900.82 = 108,225.24 : x
  2. Step 2: Convert to fraction form
    265,883.64/398,900.82 = 108,225.24/x
  3. Step 3: Cross multiply
    265,883.64x = 398,900.82 × 108,225.24
  4. Step 4: Simplify right side
    265,883.64x = 43,171,136,980.70
  5. Step 5: Solve for x
    x = 43,171,136,980.70/265,883.64
  6. Step 6: Final answer
    x = 162,368.53

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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.