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Finding the Fourth Proportional to 229,447, 316,636.86 and 128,845

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Solution

The fourth proportional to 229,447, 316,636.86 and 128,845 is: 177,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,447 : 316,636.86 = 128,845 : x
  2. Step 2: Convert to fraction form
    229,447/316,636.86 = 128,845/x
  3. Step 3: Cross multiply
    229,447x = 316,636.86 × 128,845
  4. Step 4: Simplify right side
    229,447x = 40,797,076,226.70
  5. Step 5: Solve for x
    x = 40,797,076,226.70/229,447
  6. Step 6: Final answer
    x = 177,806.10

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