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Finding the Fourth Proportional to 196,323.90, 294,527.70 and 112,124.40

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Solution

The fourth proportional to 196,323.90, 294,527.70 and 112,124.40 is: 168,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,323.90 : 294,527.70 = 112,124.40 : x
  2. Step 2: Convert to fraction form
    196,323.90/294,527.70 = 112,124.40/x
  3. Step 3: Cross multiply
    196,323.90x = 294,527.70 × 112,124.40
  4. Step 4: Simplify right side
    196,323.90x = 33,023,741,645.88
  5. Step 5: Solve for x
    x = 33,023,741,645.88/196,323.90
  6. Step 6: Final answer
    x = 168,210.50

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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.