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Finding the Fourth Proportional to 233,459.26, 350,298.24 and 115,066.06

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Solution

The fourth proportional to 233,459.26, 350,298.24 and 115,066.06 is: 172,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,459.26 : 350,298.24 = 115,066.06 : x
  2. Step 2: Convert to fraction form
    233,459.26/350,298.24 = 115,066.06/x
  3. Step 3: Cross multiply
    233,459.26x = 350,298.24 × 115,066.06
  4. Step 4: Simplify right side
    233,459.26x = 40,307,438,301.73
  5. Step 5: Solve for x
    x = 40,307,438,301.73/233,459.26
  6. Step 6: Final answer
    x = 172,652.99

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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.