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Finding the Fourth Proportional to 96,188.95, 144,157.62 and 51,719.95

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Solution

The fourth proportional to 96,188.95, 144,157.62 and 51,719.95 is: 77,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,188.95 : 144,157.62 = 51,719.95 : x
  2. Step 2: Convert to fraction form
    96,188.95/144,157.62 = 51,719.95/x
  3. Step 3: Cross multiply
    96,188.95x = 144,157.62 × 51,719.95
  4. Step 4: Simplify right side
    96,188.95x = 7,455,825,272.67
  5. Step 5: Solve for x
    x = 7,455,825,272.67/96,188.95
  6. Step 6: Final answer
    x = 77,512.28

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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.