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Finding the Fourth Proportional to 229,596.64, 316,841.22 and 127,619.44

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Solution

The fourth proportional to 229,596.64, 316,841.22 and 127,619.44 is: 176,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,596.64 : 316,841.22 = 127,619.44 : x
  2. Step 2: Convert to fraction form
    229,596.64/316,841.22 = 127,619.44/x
  3. Step 3: Cross multiply
    229,596.64x = 316,841.22 × 127,619.44
  4. Step 4: Simplify right side
    229,596.64x = 40,435,099,065.32
  5. Step 5: Solve for x
    x = 40,435,099,065.32/229,596.64
  6. Step 6: Final answer
    x = 176,113.64

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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.