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Finding the Fourth Proportional to 185,894.54, 256,536.09 and 101,011.60

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Solution

The fourth proportional to 185,894.54, 256,536.09 and 101,011.60 is: 139,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,894.54 : 256,536.09 = 101,011.60 : x
  2. Step 2: Convert to fraction form
    185,894.54/256,536.09 = 101,011.60/x
  3. Step 3: Cross multiply
    185,894.54x = 256,536.09 × 101,011.60
  4. Step 4: Simplify right side
    185,894.54x = 25,913,120,908.64
  5. Step 5: Solve for x
    x = 25,913,120,908.64/185,894.54
  6. Step 6: Final answer
    x = 139,396.89

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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.