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Finding the Fourth Proportional to 127,157.80, 190,575.42 and 57,034.28

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Solution

The fourth proportional to 127,157.80, 190,575.42 and 57,034.28 is: 85,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,157.80 : 190,575.42 = 57,034.28 : x
  2. Step 2: Convert to fraction form
    127,157.80/190,575.42 = 57,034.28/x
  3. Step 3: Cross multiply
    127,157.80x = 190,575.42 × 57,034.28
  4. Step 4: Simplify right side
    127,157.80x = 10,869,331,865.40
  5. Step 5: Solve for x
    x = 10,869,331,865.40/127,157.80
  6. Step 6: Final answer
    x = 85,479.08

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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.