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Finding the Fourth Proportional to 233,564.19, 322,318.53 and 126,134.20

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Solution

The fourth proportional to 233,564.19, 322,318.53 and 126,134.20 is: 174,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,564.19 : 322,318.53 = 126,134.20 : x
  2. Step 2: Convert to fraction form
    233,564.19/322,318.53 = 126,134.20/x
  3. Step 3: Cross multiply
    233,564.19x = 322,318.53 × 126,134.20
  4. Step 4: Simplify right side
    233,564.19x = 40,655,389,926.73
  5. Step 5: Solve for x
    x = 40,655,389,926.73/233,564.19
  6. Step 6: Final answer
    x = 174,065.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.