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Finding the Fourth Proportional to 234,116.76, 351,231.10 and 76,345.40

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Solution

The fourth proportional to 234,116.76, 351,231.10 and 76,345.40 is: 114,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,116.76 : 351,231.10 = 76,345.40 : x
  2. Step 2: Convert to fraction form
    234,116.76/351,231.10 = 76,345.40/x
  3. Step 3: Cross multiply
    234,116.76x = 351,231.10 × 76,345.40
  4. Step 4: Simplify right side
    234,116.76x = 26,814,878,821.94
  5. Step 5: Solve for x
    x = 26,814,878,821.94/234,116.76
  6. Step 6: Final answer
    x = 114,536.35

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Why These Related Problems?

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