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Finding the Fourth Proportional to 200,730.96, 301,001.10 and 116,517.10

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Solution

The fourth proportional to 200,730.96, 301,001.10 and 116,517.10 is: 174,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.96 : 301,001.10 = 116,517.10 : x
  2. Step 2: Convert to fraction form
    200,730.96/301,001.10 = 116,517.10/x
  3. Step 3: Cross multiply
    200,730.96x = 301,001.10 × 116,517.10
  4. Step 4: Simplify right side
    200,730.96x = 35,071,775,268.81
  5. Step 5: Solve for x
    x = 35,071,775,268.81/200,730.96
  6. Step 6: Final answer
    x = 174,720.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.