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Finding the Fourth Proportional to 175,426, 242,093.64 and 95,938

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Solution

The fourth proportional to 175,426, 242,093.64 and 95,938 is: 132,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,426 : 242,093.64 = 95,938 : x
  2. Step 2: Convert to fraction form
    175,426/242,093.64 = 95,938/x
  3. Step 3: Cross multiply
    175,426x = 242,093.64 × 95,938
  4. Step 4: Simplify right side
    175,426x = 23,225,979,634.32
  5. Step 5: Solve for x
    x = 23,225,979,634.32/175,426
  6. Step 6: Final answer
    x = 132,397.59

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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.