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Finding the Fourth Proportional to 193,325.60, 289,988.40 and 126,970.40

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Solution

The fourth proportional to 193,325.60, 289,988.40 and 126,970.40 is: 190,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,325.60 : 289,988.40 = 126,970.40 : x
  2. Step 2: Convert to fraction form
    193,325.60/289,988.40 = 126,970.40/x
  3. Step 3: Cross multiply
    193,325.60x = 289,988.40 × 126,970.40
  4. Step 4: Simplify right side
    193,325.60x = 36,819,943,143.36
  5. Step 5: Solve for x
    x = 36,819,943,143.36/193,325.60
  6. Step 6: Final answer
    x = 190,455.60

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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.