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Finding the Fourth Proportional to 233,048.40, 349,313.40 and 127,942.80

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Solution

The fourth proportional to 233,048.40, 349,313.40 and 127,942.80 is: 191,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,048.40 : 349,313.40 = 127,942.80 : x
  2. Step 2: Convert to fraction form
    233,048.40/349,313.40 = 127,942.80/x
  3. Step 3: Cross multiply
    233,048.40x = 349,313.40 × 127,942.80
  4. Step 4: Simplify right side
    233,048.40x = 44,692,134,473.52
  5. Step 5: Solve for x
    x = 44,692,134,473.52/233,048.40
  6. Step 6: Final answer
    x = 191,771.90

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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.