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Finding the Fourth Proportional to 127,200.50, 190,800.75 and 39,648.50

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Solution

The fourth proportional to 127,200.50, 190,800.75 and 39,648.50 is: 59,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.50 : 190,800.75 = 39,648.50 : x
  2. Step 2: Convert to fraction form
    127,200.50/190,800.75 = 39,648.50/x
  3. Step 3: Cross multiply
    127,200.50x = 190,800.75 × 39,648.50
  4. Step 4: Simplify right side
    127,200.50x = 7,564,963,536.38
  5. Step 5: Solve for x
    x = 7,564,963,536.38/127,200.50
  6. Step 6: Final answer
    x = 59,472.75

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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.