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Finding the Fourth Proportional to 176,133.20, 264,199.80 and 141,141.20

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Solution

The fourth proportional to 176,133.20, 264,199.80 and 141,141.20 is: 211,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,133.20 : 264,199.80 = 141,141.20 : x
  2. Step 2: Convert to fraction form
    176,133.20/264,199.80 = 141,141.20/x
  3. Step 3: Cross multiply
    176,133.20x = 264,199.80 × 141,141.20
  4. Step 4: Simplify right side
    176,133.20x = 37,289,476,811.76
  5. Step 5: Solve for x
    x = 37,289,476,811.76/176,133.20
  6. Step 6: Final answer
    x = 211,711.80

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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.