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Finding the Fourth Proportional to 175,270.64, 262,932.60 and 64,454

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Solution

The fourth proportional to 175,270.64, 262,932.60 and 64,454 is: 96,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,270.64 : 262,932.60 = 64,454 : x
  2. Step 2: Convert to fraction form
    175,270.64/262,932.60 = 64,454/x
  3. Step 3: Cross multiply
    175,270.64x = 262,932.60 × 64,454
  4. Step 4: Simplify right side
    175,270.64x = 16,947,057,800.40
  5. Step 5: Solve for x
    x = 16,947,057,800.40/175,270.64
  6. Step 6: Final answer
    x = 96,690.80

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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.