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Finding the Fourth Proportional to 261,045.84, 360,268.62 and 146,343.96

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Solution

The fourth proportional to 261,045.84, 360,268.62 and 146,343.96 is: 201,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,045.84 : 360,268.62 = 146,343.96 : x
  2. Step 2: Convert to fraction form
    261,045.84/360,268.62 = 146,343.96/x
  3. Step 3: Cross multiply
    261,045.84x = 360,268.62 × 146,343.96
  4. Step 4: Simplify right side
    261,045.84x = 52,723,136,514.54
  5. Step 5: Solve for x
    x = 52,723,136,514.54/261,045.84
  6. Step 6: Final answer
    x = 201,968.88

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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.