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Finding the Fourth Proportional to 230,217.69, 317,832.10 and 152,798.33

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Solution

The fourth proportional to 230,217.69, 317,832.10 and 152,798.33 is: 210,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,217.69 : 317,832.10 = 152,798.33 : x
  2. Step 2: Convert to fraction form
    230,217.69/317,832.10 = 152,798.33/x
  3. Step 3: Cross multiply
    230,217.69x = 317,832.10 × 152,798.33
  4. Step 4: Simplify right side
    230,217.69x = 48,564,214,512.98
  5. Step 5: Solve for x
    x = 48,564,214,512.98/230,217.69
  6. Step 6: Final answer
    x = 210,949.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.