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Finding the Fourth Proportional to 265,260.96, 397,878.48 and 99,036

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Solution

The fourth proportional to 265,260.96, 397,878.48 and 99,036 is: 148,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,260.96 : 397,878.48 = 99,036 : x
  2. Step 2: Convert to fraction form
    265,260.96/397,878.48 = 99,036/x
  3. Step 3: Cross multiply
    265,260.96x = 397,878.48 × 99,036
  4. Step 4: Simplify right side
    265,260.96x = 39,404,293,145.28
  5. Step 5: Solve for x
    x = 39,404,293,145.28/265,260.96
  6. Step 6: Final answer
    x = 148,549.16

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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.