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Finding the Fourth Proportional to 145,464, 200,742.75 and 95,163

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Solution

The fourth proportional to 145,464, 200,742.75 and 95,163 is: 131,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,464 : 200,742.75 = 95,163 : x
  2. Step 2: Convert to fraction form
    145,464/200,742.75 = 95,163/x
  3. Step 3: Cross multiply
    145,464x = 200,742.75 × 95,163
  4. Step 4: Simplify right side
    145,464x = 19,103,282,318.25
  5. Step 5: Solve for x
    x = 19,103,282,318.25/145,464
  6. Step 6: Final answer
    x = 131,326.53

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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.