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Finding the Fourth Proportional to 176,286, 243,274.68 and 96,798

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Solution

The fourth proportional to 176,286, 243,274.68 and 96,798 is: 133,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286 : 243,274.68 = 96,798 : x
  2. Step 2: Convert to fraction form
    176,286/243,274.68 = 96,798/x
  3. Step 3: Cross multiply
    176,286x = 243,274.68 × 96,798
  4. Step 4: Simplify right side
    176,286x = 23,548,502,474.64
  5. Step 5: Solve for x
    x = 23,548,502,474.64/176,286
  6. Step 6: Final answer
    x = 133,581.24

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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.