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Finding the Fourth Proportional to 175,286, 241,894.68 and 95,798

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Solution

The fourth proportional to 175,286, 241,894.68 and 95,798 is: 132,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,286 : 241,894.68 = 95,798 : x
  2. Step 2: Convert to fraction form
    175,286/241,894.68 = 95,798/x
  3. Step 3: Cross multiply
    175,286x = 241,894.68 × 95,798
  4. Step 4: Simplify right side
    175,286x = 23,173,026,554.64
  5. Step 5: Solve for x
    x = 23,173,026,554.64/175,286
  6. Step 6: Final answer
    x = 132,201.24

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