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Finding the Fourth Proportional to 117,344, 175,860.48 and 97,748.48

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Solution

The fourth proportional to 117,344, 175,860.48 and 97,748.48 is: 146,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,344 : 175,860.48 = 97,748.48 : x
  2. Step 2: Convert to fraction form
    117,344/175,860.48 = 97,748.48/x
  3. Step 3: Cross multiply
    117,344x = 175,860.48 × 97,748.48
  4. Step 4: Simplify right side
    117,344x = 17,190,094,612.07
  5. Step 5: Solve for x
    x = 17,190,094,612.07/117,344
  6. Step 6: Final answer
    x = 146,493.17

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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.