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Finding the Fourth Proportional to 175,772.32, 242,564.58 and 95,198

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Solution

The fourth proportional to 175,772.32, 242,564.58 and 95,198 is: 131,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,772.32 : 242,564.58 = 95,198 : x
  2. Step 2: Convert to fraction form
    175,772.32/242,564.58 = 95,198/x
  3. Step 3: Cross multiply
    175,772.32x = 242,564.58 × 95,198
  4. Step 4: Simplify right side
    175,772.32x = 23,091,662,886.84
  5. Step 5: Solve for x
    x = 23,091,662,886.84/175,772.32
  6. Step 6: Final answer
    x = 131,372.58

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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.