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Finding the Fourth Proportional to 105,213.20, 157,685.40 and 42,813.20

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Solution

The fourth proportional to 105,213.20, 157,685.40 and 42,813.20 is: 64,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,213.20 : 157,685.40 = 42,813.20 : x
  2. Step 2: Convert to fraction form
    105,213.20/157,685.40 = 42,813.20/x
  3. Step 3: Cross multiply
    105,213.20x = 157,685.40 × 42,813.20
  4. Step 4: Simplify right side
    105,213.20x = 6,751,016,567.28
  5. Step 5: Solve for x
    x = 6,751,016,567.28/105,213.20
  6. Step 6: Final answer
    x = 64,165.11

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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.