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Finding the Fourth Proportional to 152,911.96, 211,292.30 and 119,630.68

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Solution

The fourth proportional to 152,911.96, 211,292.30 and 119,630.68 is: 165,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,911.96 : 211,292.30 = 119,630.68 : x
  2. Step 2: Convert to fraction form
    152,911.96/211,292.30 = 119,630.68/x
  3. Step 3: Cross multiply
    152,911.96x = 211,292.30 × 119,630.68
  4. Step 4: Simplify right side
    152,911.96x = 25,277,041,527.76
  5. Step 5: Solve for x
    x = 25,277,041,527.76/152,911.96
  6. Step 6: Final answer
    x = 165,304.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.