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Finding the Fourth Proportional to 102,453.64, 153,696.38 and 43,289.60

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Solution

The fourth proportional to 102,453.64, 153,696.38 and 43,289.60 is: 64,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,453.64 : 153,696.38 = 43,289.60 : x
  2. Step 2: Convert to fraction form
    102,453.64/153,696.38 = 43,289.60/x
  3. Step 3: Cross multiply
    102,453.64x = 153,696.38 × 43,289.60
  4. Step 4: Simplify right side
    102,453.64x = 6,653,454,811.65
  5. Step 5: Solve for x
    x = 6,653,454,811.65/102,453.64
  6. Step 6: Final answer
    x = 64,941.13

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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.