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Finding the Fourth Proportional to 229,144, 316,220.88 and 128,544.16

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Solution

The fourth proportional to 229,144, 316,220.88 and 128,544.16 is: 177,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,144 : 316,220.88 = 128,544.16 : x
  2. Step 2: Convert to fraction form
    229,144/316,220.88 = 128,544.16/x
  3. Step 3: Cross multiply
    229,144x = 316,220.88 × 128,544.16
  4. Step 4: Simplify right side
    229,144x = 40,648,347,394.06
  5. Step 5: Solve for x
    x = 40,648,347,394.06/229,144
  6. Step 6: Final answer
    x = 177,392.15

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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.