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Finding the Fourth Proportional to 261,602.28, 361,000.26 and 148,431.24

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Solution

The fourth proportional to 261,602.28, 361,000.26 and 148,431.24 is: 204,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,602.28 : 361,000.26 = 148,431.24 : x
  2. Step 2: Convert to fraction form
    261,602.28/361,000.26 = 148,431.24/x
  3. Step 3: Cross multiply
    261,602.28x = 361,000.26 × 148,431.24
  4. Step 4: Simplify right side
    261,602.28x = 53,583,716,232.12
  5. Step 5: Solve for x
    x = 53,583,716,232.12/261,602.28
  6. Step 6: Final answer
    x = 204,828.93

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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.