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Finding the Fourth Proportional to 185,157.83, 255,447.38 and 136,875.68

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Solution

The fourth proportional to 185,157.83, 255,447.38 and 136,875.68 is: 188,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,157.83 : 255,447.38 = 136,875.68 : x
  2. Step 2: Convert to fraction form
    185,157.83/255,447.38 = 136,875.68/x
  3. Step 3: Cross multiply
    185,157.83x = 255,447.38 × 136,875.68
  4. Step 4: Simplify right side
    185,157.83x = 34,964,532,838.03
  5. Step 5: Solve for x
    x = 34,964,532,838.03/185,157.83
  6. Step 6: Final answer
    x = 188,836.38

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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.