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Finding the Fourth Proportional to 229,021.80, 343,532.70 and 117,047.40

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Solution

The fourth proportional to 229,021.80, 343,532.70 and 117,047.40 is: 175,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,021.80 : 343,532.70 = 117,047.40 : x
  2. Step 2: Convert to fraction form
    229,021.80/343,532.70 = 117,047.40/x
  3. Step 3: Cross multiply
    229,021.80x = 343,532.70 × 117,047.40
  4. Step 4: Simplify right side
    229,021.80x = 40,209,609,349.98
  5. Step 5: Solve for x
    x = 40,209,609,349.98/229,021.80
  6. Step 6: Final answer
    x = 175,571.10

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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.