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Finding the Fourth Proportional to 151,563.56, 209,152.90 and 83,583.40

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Solution

The fourth proportional to 151,563.56, 209,152.90 and 83,583.40 is: 115,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,563.56 : 209,152.90 = 83,583.40 : x
  2. Step 2: Convert to fraction form
    151,563.56/209,152.90 = 83,583.40/x
  3. Step 3: Cross multiply
    151,563.56x = 209,152.90 × 83,583.40
  4. Step 4: Simplify right side
    151,563.56x = 17,481,710,501.86
  5. Step 5: Solve for x
    x = 17,481,710,501.86/151,563.56
  6. Step 6: Final answer
    x = 115,342.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.