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Finding the Fourth Proportional to 233,602.10, 322,396.11 and 143,019.02

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Solution

The fourth proportional to 233,602.10, 322,396.11 and 143,019.02 is: 197,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,602.10 : 322,396.11 = 143,019.02 : x
  2. Step 2: Convert to fraction form
    233,602.10/322,396.11 = 143,019.02/x
  3. Step 3: Cross multiply
    233,602.10x = 322,396.11 × 143,019.02
  4. Step 4: Simplify right side
    233,602.10x = 46,108,775,704.01
  5. Step 5: Solve for x
    x = 46,108,775,704.01/233,602.10
  6. Step 6: Final answer
    x = 197,381.68

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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.