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Finding the Fourth Proportional to 127,657, 191,485.38 and 57,454.28

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Solution

The fourth proportional to 127,657, 191,485.38 and 57,454.28 is: 86,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,657 : 191,485.38 = 57,454.28 : x
  2. Step 2: Convert to fraction form
    127,657/191,485.38 = 57,454.28/x
  3. Step 3: Cross multiply
    127,657x = 191,485.38 × 57,454.28
  4. Step 4: Simplify right side
    127,657x = 11,001,654,638.43
  5. Step 5: Solve for x
    x = 11,001,654,638.43/127,657
  6. Step 6: Final answer
    x = 86,181.37

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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.