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Finding the Fourth Proportional to 280,010.40, 420,015.60 and 153,601.80

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Solution

The fourth proportional to 280,010.40, 420,015.60 and 153,601.80 is: 230,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,010.40 : 420,015.60 = 153,601.80 : x
  2. Step 2: Convert to fraction form
    280,010.40/420,015.60 = 153,601.80/x
  3. Step 3: Cross multiply
    280,010.40x = 420,015.60 × 153,601.80
  4. Step 4: Simplify right side
    280,010.40x = 64,515,152,188.08
  5. Step 5: Solve for x
    x = 64,515,152,188.08/280,010.40
  6. Step 6: Final answer
    x = 230,402.70

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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.