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Finding the Fourth Proportional to 250,185, 345,256.38 and 137,009.64

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Solution

The fourth proportional to 250,185, 345,256.38 and 137,009.64 is: 189,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,185 : 345,256.38 = 137,009.64 : x
  2. Step 2: Convert to fraction form
    250,185/345,256.38 = 137,009.64/x
  3. Step 3: Cross multiply
    250,185x = 345,256.38 × 137,009.64
  4. Step 4: Simplify right side
    250,185x = 47,303,452,331.50
  5. Step 5: Solve for x
    x = 47,303,452,331.50/250,185
  6. Step 6: Final answer
    x = 189,073.89

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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.