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Finding the Fourth Proportional to 176,203.20, 264,304.80 and 141,211.20

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Solution

The fourth proportional to 176,203.20, 264,304.80 and 141,211.20 is: 211,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,203.20 : 264,304.80 = 141,211.20 : x
  2. Step 2: Convert to fraction form
    176,203.20/264,304.80 = 141,211.20/x
  3. Step 3: Cross multiply
    176,203.20x = 264,304.80 × 141,211.20
  4. Step 4: Simplify right side
    176,203.20x = 37,322,797,973.76
  5. Step 5: Solve for x
    x = 37,322,797,973.76/176,203.20
  6. Step 6: Final answer
    x = 211,816.80

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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.