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Finding the Fourth Proportional to 233,186.64, 321,768.94 and 147,113.16

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Solution

The fourth proportional to 233,186.64, 321,768.94 and 147,113.16 is: 202,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,186.64 : 321,768.94 = 147,113.16 : x
  2. Step 2: Convert to fraction form
    233,186.64/321,768.94 = 147,113.16/x
  3. Step 3: Cross multiply
    233,186.64x = 321,768.94 × 147,113.16
  4. Step 4: Simplify right side
    233,186.64x = 47,336,445,553.25
  5. Step 5: Solve for x
    x = 47,336,445,553.25/233,186.64
  6. Step 6: Final answer
    x = 202,998.10

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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.