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Finding the Fourth Proportional to 229,178.88, 316,262.09 and 127,198.36

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Solution

The fourth proportional to 229,178.88, 316,262.09 and 127,198.36 is: 175,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,178.88 : 316,262.09 = 127,198.36 : x
  2. Step 2: Convert to fraction form
    229,178.88/316,262.09 = 127,198.36/x
  3. Step 3: Cross multiply
    229,178.88x = 316,262.09 × 127,198.36
  4. Step 4: Simplify right side
    229,178.88x = 40,228,017,751.53
  5. Step 5: Solve for x
    x = 40,228,017,751.53/229,178.88
  6. Step 6: Final answer
    x = 175,531.09

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1.5x scale

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.