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Finding the Fourth Proportional to 235,200.30, 352,800.45 and 110,784.30

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Solution

The fourth proportional to 235,200.30, 352,800.45 and 110,784.30 is: 166,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,200.30 : 352,800.45 = 110,784.30 : x
  2. Step 2: Convert to fraction form
    235,200.30/352,800.45 = 110,784.30/x
  3. Step 3: Cross multiply
    235,200.30x = 352,800.45 × 110,784.30
  4. Step 4: Simplify right side
    235,200.30x = 39,084,750,892.94
  5. Step 5: Solve for x
    x = 39,084,750,892.94/235,200.30
  6. Step 6: Final answer
    x = 166,176.45

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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.