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Finding the Fourth Proportional to 230,547, 345,519.12 and 118,131.96

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Solution

The fourth proportional to 230,547, 345,519.12 and 118,131.96 is: 177,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,547 : 345,519.12 = 118,131.96 : x
  2. Step 2: Convert to fraction form
    230,547/345,519.12 = 118,131.96/x
  3. Step 3: Cross multiply
    230,547x = 345,519.12 × 118,131.96
  4. Step 4: Simplify right side
    230,547x = 40,816,850,863.08
  5. Step 5: Solve for x
    x = 40,816,850,863.08/230,547
  6. Step 6: Final answer
    x = 177,043.51

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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.