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Finding the Fourth Proportional to 99,147.60, 136,824.72 and 53,826

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Solution

The fourth proportional to 99,147.60, 136,824.72 and 53,826 is: 74,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,147.60 : 136,824.72 = 53,826 : x
  2. Step 2: Convert to fraction form
    99,147.60/136,824.72 = 53,826/x
  3. Step 3: Cross multiply
    99,147.60x = 136,824.72 × 53,826
  4. Step 4: Simplify right side
    99,147.60x = 7,364,727,378.72
  5. Step 5: Solve for x
    x = 7,364,727,378.72/99,147.60
  6. Step 6: Final answer
    x = 74,280.44

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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.