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Finding the Fourth Proportional to 176,313, 264,469.50 and 51,655.08

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Solution

The fourth proportional to 176,313, 264,469.50 and 51,655.08 is: 77,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,313 : 264,469.50 = 51,655.08 : x
  2. Step 2: Convert to fraction form
    176,313/264,469.50 = 51,655.08/x
  3. Step 3: Cross multiply
    176,313x = 264,469.50 × 51,655.08
  4. Step 4: Simplify right side
    176,313x = 13,661,193,180.06
  5. Step 5: Solve for x
    x = 13,661,193,180.06/176,313
  6. Step 6: Final answer
    x = 77,482.62

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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.