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Finding the Fourth Proportional to 114,155, 171,310.28 and 40,283

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Solution

The fourth proportional to 114,155, 171,310.28 and 40,283 is: 60,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,155 : 171,310.28 = 40,283 : x
  2. Step 2: Convert to fraction form
    114,155/171,310.28 = 40,283/x
  3. Step 3: Cross multiply
    114,155x = 171,310.28 × 40,283
  4. Step 4: Simplify right side
    114,155x = 6,900,892,009.24
  5. Step 5: Solve for x
    x = 6,900,892,009.24/114,155
  6. Step 6: Final answer
    x = 60,451.95

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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.