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Finding the Fourth Proportional to 229,190.09, 316,267.36 and 127,210.68

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Solution

The fourth proportional to 229,190.09, 316,267.36 and 127,210.68 is: 175,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,190.09 : 316,267.36 = 127,210.68 : x
  2. Step 2: Convert to fraction form
    229,190.09/316,267.36 = 127,210.68/x
  3. Step 3: Cross multiply
    229,190.09x = 316,267.36 × 127,210.68
  4. Step 4: Simplify right side
    229,190.09x = 40,232,585,609.38
  5. Step 5: Solve for x
    x = 40,232,585,609.38/229,190.09
  6. Step 6: Final answer
    x = 175,542.44

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Why These Related Problems?

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