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Finding the Fourth Proportional to 176,121, 264,220.38 and 65,313

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Solution

The fourth proportional to 176,121, 264,220.38 and 65,313 is: 97,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,121 : 264,220.38 = 65,313 : x
  2. Step 2: Convert to fraction form
    176,121/264,220.38 = 65,313/x
  3. Step 3: Cross multiply
    176,121x = 264,220.38 × 65,313
  4. Step 4: Simplify right side
    176,121x = 17,257,025,678.94
  5. Step 5: Solve for x
    x = 17,257,025,678.94/176,121
  6. Step 6: Final answer
    x = 97,983.92

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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.