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Finding the Fourth Proportional to 265,102.48, 397,653.72 and 96,635.44

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Solution

The fourth proportional to 265,102.48, 397,653.72 and 96,635.44 is: 144,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,102.48 : 397,653.72 = 96,635.44 : x
  2. Step 2: Convert to fraction form
    265,102.48/397,653.72 = 96,635.44/x
  3. Step 3: Cross multiply
    265,102.48x = 397,653.72 × 96,635.44
  4. Step 4: Simplify right side
    265,102.48x = 38,427,442,199.84
  5. Step 5: Solve for x
    x = 38,427,442,199.84/265,102.48
  6. Step 6: Final answer
    x = 144,953.16

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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.