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Finding the Fourth Proportional to 100,117.16, 138,160.44 and 54,794.96

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Solution

The fourth proportional to 100,117.16, 138,160.44 and 54,794.96 is: 75,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,117.16 : 138,160.44 = 54,794.96 : x
  2. Step 2: Convert to fraction form
    100,117.16/138,160.44 = 54,794.96/x
  3. Step 3: Cross multiply
    100,117.16x = 138,160.44 × 54,794.96
  4. Step 4: Simplify right side
    100,117.16x = 7,570,495,783.38
  5. Step 5: Solve for x
    x = 7,570,495,783.38/100,117.16
  6. Step 6: Final answer
    x = 75,616.37

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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.