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Finding the Fourth Proportional to 237,208.84, 327,235.10 and 146,532.16

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Solution

The fourth proportional to 237,208.84, 327,235.10 and 146,532.16 is: 202,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,208.84 : 327,235.10 = 146,532.16 : x
  2. Step 2: Convert to fraction form
    237,208.84/327,235.10 = 146,532.16/x
  3. Step 3: Cross multiply
    237,208.84x = 327,235.10 × 146,532.16
  4. Step 4: Simplify right side
    237,208.84x = 47,950,466,030.82
  5. Step 5: Solve for x
    x = 47,950,466,030.82/237,208.84
  6. Step 6: Final answer
    x = 202,144.52

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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.