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Finding the Fourth Proportional to 127,004.34, 190,438.47 and 42,736.50

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Solution

The fourth proportional to 127,004.34, 190,438.47 and 42,736.50 is: 64,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,004.34 : 190,438.47 = 42,736.50 : x
  2. Step 2: Convert to fraction form
    127,004.34/190,438.47 = 42,736.50/x
  3. Step 3: Cross multiply
    127,004.34x = 190,438.47 × 42,736.50
  4. Step 4: Simplify right side
    127,004.34x = 8,138,673,673.16
  5. Step 5: Solve for x
    x = 8,138,673,673.16/127,004.34
  6. Step 6: Final answer
    x = 64,081.85

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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.