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Finding the Fourth Proportional to 271,042.80, 406,019.88 and 152,536.56

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Solution

The fourth proportional to 271,042.80, 406,019.88 and 152,536.56 is: 228,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,042.80 : 406,019.88 = 152,536.56 : x
  2. Step 2: Convert to fraction form
    271,042.80/406,019.88 = 152,536.56/x
  3. Step 3: Cross multiply
    271,042.80x = 406,019.88 × 152,536.56
  4. Step 4: Simplify right side
    271,042.80x = 61,932,875,786.81
  5. Step 5: Solve for x
    x = 61,932,875,786.81/271,042.80
  6. Step 6: Final answer
    x = 228,498.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.