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Finding the Fourth Proportional to 145,178.58, 200,341.26 and 81,519.06

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Solution

The fourth proportional to 145,178.58, 200,341.26 and 81,519.06 is: 112,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,178.58 : 200,341.26 = 81,519.06 : x
  2. Step 2: Convert to fraction form
    145,178.58/200,341.26 = 81,519.06/x
  3. Step 3: Cross multiply
    145,178.58x = 200,341.26 × 81,519.06
  4. Step 4: Simplify right side
    145,178.58x = 16,331,631,194.42
  5. Step 5: Solve for x
    x = 16,331,631,194.42/145,178.58
  6. Step 6: Final answer
    x = 112,493.39

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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.