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Finding the Fourth Proportional to 221,451.40, 332,322.90 and 126,681.40

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Solution

The fourth proportional to 221,451.40, 332,322.90 and 126,681.40 is: 190,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,451.40 : 332,322.90 = 126,681.40 : x
  2. Step 2: Convert to fraction form
    221,451.40/332,322.90 = 126,681.40/x
  3. Step 3: Cross multiply
    221,451.40x = 332,322.90 × 126,681.40
  4. Step 4: Simplify right side
    221,451.40x = 42,099,130,224.06
  5. Step 5: Solve for x
    x = 42,099,130,224.06/221,451.40
  6. Step 6: Final answer
    x = 190,105.50

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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.