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Finding the Fourth Proportional to 254,827.64, 382,536.74 and 136,729.64

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Solution

The fourth proportional to 254,827.64, 382,536.74 and 136,729.64 is: 205,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,827.64 : 382,536.74 = 136,729.64 : x
  2. Step 2: Convert to fraction form
    254,827.64/382,536.74 = 136,729.64/x
  3. Step 3: Cross multiply
    254,827.64x = 382,536.74 × 136,729.64
  4. Step 4: Simplify right side
    254,827.64x = 52,304,110,746.97
  5. Step 5: Solve for x
    x = 52,304,110,746.97/254,827.64
  6. Step 6: Final answer
    x = 205,252.89

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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.