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Finding the Fourth Proportional to 99,258, 136,976.04 and 54,546

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Solution

The fourth proportional to 99,258, 136,976.04 and 54,546 is: 75,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,258 : 136,976.04 = 54,546 : x
  2. Step 2: Convert to fraction form
    99,258/136,976.04 = 54,546/x
  3. Step 3: Cross multiply
    99,258x = 136,976.04 × 54,546
  4. Step 4: Simplify right side
    99,258x = 7,471,495,077.84
  5. Step 5: Solve for x
    x = 7,471,495,077.84/99,258
  6. Step 6: Final answer
    x = 75,273.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.