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Finding the Fourth Proportional to 261,509.36, 392,474.16 and 135,186.62

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Solution

The fourth proportional to 261,509.36, 392,474.16 and 135,186.62 is: 202,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,509.36 : 392,474.16 = 135,186.62 : x
  2. Step 2: Convert to fraction form
    261,509.36/392,474.16 = 135,186.62/x
  3. Step 3: Cross multiply
    261,509.36x = 392,474.16 × 135,186.62
  4. Step 4: Simplify right side
    261,509.36x = 53,057,253,165.37
  5. Step 5: Solve for x
    x = 53,057,253,165.37/261,509.36
  6. Step 6: Final answer
    x = 202,888.55

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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.