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Finding the Fourth Proportional to 176,942, 244,179.96 and 97,454

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Solution

The fourth proportional to 176,942, 244,179.96 and 97,454 is: 134,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,942 : 244,179.96 = 97,454 : x
  2. Step 2: Convert to fraction form
    176,942/244,179.96 = 97,454/x
  3. Step 3: Cross multiply
    176,942x = 244,179.96 × 97,454
  4. Step 4: Simplify right side
    176,942x = 23,796,313,821.84
  5. Step 5: Solve for x
    x = 23,796,313,821.84/176,942
  6. Step 6: Final answer
    x = 134,486.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.