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Finding the Fourth Proportional to 102,505.90, 153,780.45 and 43,311.10

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Solution

The fourth proportional to 102,505.90, 153,780.45 and 43,311.10 is: 64,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.90 : 153,780.45 = 43,311.10 : x
  2. Step 2: Convert to fraction form
    102,505.90/153,780.45 = 43,311.10/x
  3. Step 3: Cross multiply
    102,505.90x = 153,780.45 × 43,311.10
  4. Step 4: Simplify right side
    102,505.90x = 6,660,400,448.00
  5. Step 5: Solve for x
    x = 6,660,400,448.00/102,505.90
  6. Step 6: Final answer
    x = 64,975.78

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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.