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Finding the Fourth Proportional to 229,580.97, 316,806.36 and 127,599.81

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Solution

The fourth proportional to 229,580.97, 316,806.36 and 127,599.81 is: 176,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,580.97 : 316,806.36 = 127,599.81 : x
  2. Step 2: Convert to fraction form
    229,580.97/316,806.36 = 127,599.81/x
  3. Step 3: Cross multiply
    229,580.97x = 316,806.36 × 127,599.81
  4. Step 4: Simplify right side
    229,580.97x = 40,424,431,342.79
  5. Step 5: Solve for x
    x = 40,424,431,342.79/229,580.97
  6. Step 6: Final answer
    x = 176,079.19

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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.