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Finding the Fourth Proportional to 229,314.14, 316,447.38 and 127,336.94

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Solution

The fourth proportional to 229,314.14, 316,447.38 and 127,336.94 is: 175,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,314.14 : 316,447.38 = 127,336.94 : x
  2. Step 2: Convert to fraction form
    229,314.14/316,447.38 = 127,336.94/x
  3. Step 3: Cross multiply
    229,314.14x = 316,447.38 × 127,336.94
  4. Step 4: Simplify right side
    229,314.14x = 40,295,441,040.22
  5. Step 5: Solve for x
    x = 40,295,441,040.22/229,314.14
  6. Step 6: Final answer
    x = 175,721.57

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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.