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Finding the Fourth Proportional to 193,014.84, 289,851.12 and 125,661.60

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Solution

The fourth proportional to 193,014.84, 289,851.12 and 125,661.60 is: 188,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,014.84 : 289,851.12 = 125,661.60 : x
  2. Step 2: Convert to fraction form
    193,014.84/289,851.12 = 125,661.60/x
  3. Step 3: Cross multiply
    193,014.84x = 289,851.12 × 125,661.60
  4. Step 4: Simplify right side
    193,014.84x = 36,423,155,500.99
  5. Step 5: Solve for x
    x = 36,423,155,500.99/193,014.84
  6. Step 6: Final answer
    x = 188,706.50

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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.