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Finding the Fourth Proportional to 127,225.60, 190,838.40 and 82,319.20

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Solution

The fourth proportional to 127,225.60, 190,838.40 and 82,319.20 is: 123,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,225.60 : 190,838.40 = 82,319.20 : x
  2. Step 2: Convert to fraction form
    127,225.60/190,838.40 = 82,319.20/x
  3. Step 3: Cross multiply
    127,225.60x = 190,838.40 × 82,319.20
  4. Step 4: Simplify right side
    127,225.60x = 15,709,664,417.28
  5. Step 5: Solve for x
    x = 15,709,664,417.28/127,225.60
  6. Step 6: Final answer
    x = 123,478.80

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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.