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Finding the Fourth Proportional to 195,844, 293,765.28 and 55,602.64

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Solution

The fourth proportional to 195,844, 293,765.28 and 55,602.64 is: 83,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,844 : 293,765.28 = 55,602.64 : x
  2. Step 2: Convert to fraction form
    195,844/293,765.28 = 55,602.64/x
  3. Step 3: Cross multiply
    195,844x = 293,765.28 × 55,602.64
  4. Step 4: Simplify right side
    195,844x = 16,334,125,108.34
  5. Step 5: Solve for x
    x = 16,334,125,108.34/195,844
  6. Step 6: Final answer
    x = 83,403.76

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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.