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Finding the Fourth Proportional to 154,809.60, 213,439.44 and 100,265.40

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Solution

The fourth proportional to 154,809.60, 213,439.44 and 100,265.40 is: 138,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809.60 : 213,439.44 = 100,265.40 : x
  2. Step 2: Convert to fraction form
    154,809.60/213,439.44 = 100,265.40/x
  3. Step 3: Cross multiply
    154,809.60x = 213,439.44 × 100,265.40
  4. Step 4: Simplify right side
    154,809.60x = 21,400,590,827.38
  5. Step 5: Solve for x
    x = 21,400,590,827.38/154,809.60
  6. Step 6: Final answer
    x = 138,238.14

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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.