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Finding the Fourth Proportional to 127,021, 190,539.48 and 42,774.28

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Solution

The fourth proportional to 127,021, 190,539.48 and 42,774.28 is: 64,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,021 : 190,539.48 = 42,774.28 : x
  2. Step 2: Convert to fraction form
    127,021/190,539.48 = 42,774.28/x
  3. Step 3: Cross multiply
    127,021x = 190,539.48 × 42,774.28
  4. Step 4: Simplify right side
    127,021x = 8,150,189,068.57
  5. Step 5: Solve for x
    x = 8,150,189,068.57/127,021
  6. Step 6: Final answer
    x = 64,164.11

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