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Finding the Fourth Proportional to 189,141.80, 283,712.70 and 187,829.60

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Solution

The fourth proportional to 189,141.80, 283,712.70 and 187,829.60 is: 281,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,141.80 : 283,712.70 = 187,829.60 : x
  2. Step 2: Convert to fraction form
    189,141.80/283,712.70 = 187,829.60/x
  3. Step 3: Cross multiply
    189,141.80x = 283,712.70 × 187,829.60
  4. Step 4: Simplify right side
    189,141.80x = 53,289,642,955.92
  5. Step 5: Solve for x
    x = 53,289,642,955.92/189,141.80
  6. Step 6: Final answer
    x = 281,744.40

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1.5x scale

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.