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Finding the Fourth Proportional to 232,968.80, 349,501.80 and 133,047.20

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Solution

The fourth proportional to 232,968.80, 349,501.80 and 133,047.20 is: 199,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,968.80 : 349,501.80 = 133,047.20 : x
  2. Step 2: Convert to fraction form
    232,968.80/349,501.80 = 133,047.20/x
  3. Step 3: Cross multiply
    232,968.80x = 349,501.80 × 133,047.20
  4. Step 4: Simplify right side
    232,968.80x = 46,500,235,884.96
  5. Step 5: Solve for x
    x = 46,500,235,884.96/232,968.80
  6. Step 6: Final answer
    x = 199,598.56

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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.