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Finding the Fourth Proportional to 230,812.80, 346,251.60 and 73,024.80

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Solution

The fourth proportional to 230,812.80, 346,251.60 and 73,024.80 is: 109,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,812.80 : 346,251.60 = 73,024.80 : x
  2. Step 2: Convert to fraction form
    230,812.80/346,251.60 = 73,024.80/x
  3. Step 3: Cross multiply
    230,812.80x = 346,251.60 × 73,024.80
  4. Step 4: Simplify right side
    230,812.80x = 25,284,953,839.68
  5. Step 5: Solve for x
    x = 25,284,953,839.68/230,812.80
  6. Step 6: Final answer
    x = 109,547.45

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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.