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Finding the Fourth Proportional to 176,644.71, 264,960.81 and 50,285.63

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Solution

The fourth proportional to 176,644.71, 264,960.81 and 50,285.63 is: 75,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,644.71 : 264,960.81 = 50,285.63 : x
  2. Step 2: Convert to fraction form
    176,644.71/264,960.81 = 50,285.63/x
  3. Step 3: Cross multiply
    176,644.71x = 264,960.81 × 50,285.63
  4. Step 4: Simplify right side
    176,644.71x = 13,323,719,931.36
  5. Step 5: Solve for x
    x = 13,323,719,931.36/176,644.71
  6. Step 6: Final answer
    x = 75,426.66

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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.