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Finding the Fourth Proportional to 194,912.64, 292,373.28 and 54,668.16

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Solution

The fourth proportional to 194,912.64, 292,373.28 and 54,668.16 is: 82,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,912.64 : 292,373.28 = 54,668.16 : x
  2. Step 2: Convert to fraction form
    194,912.64/292,373.28 = 54,668.16/x
  3. Step 3: Cross multiply
    194,912.64x = 292,373.28 × 54,668.16
  4. Step 4: Simplify right side
    194,912.64x = 15,983,509,250.76
  5. Step 5: Solve for x
    x = 15,983,509,250.76/194,912.64
  6. Step 6: Final answer
    x = 82,003.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.