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Finding the Fourth Proportional to 145,536, 200,849.04 and 88,214.88

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Solution

The fourth proportional to 145,536, 200,849.04 and 88,214.88 is: 121,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536 : 200,849.04 = 88,214.88 : x
  2. Step 2: Convert to fraction form
    145,536/200,849.04 = 88,214.88/x
  3. Step 3: Cross multiply
    145,536x = 200,849.04 × 88,214.88
  4. Step 4: Simplify right side
    145,536x = 17,717,873,961.72
  5. Step 5: Solve for x
    x = 17,717,873,961.72/145,536
  6. Step 6: Final answer
    x = 121,742.21

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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.