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Finding the Fourth Proportional to 261,526.22, 360,943.90 and 145,266.21

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Solution

The fourth proportional to 261,526.22, 360,943.90 and 145,266.21 is: 200,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,526.22 : 360,943.90 = 145,266.21 : x
  2. Step 2: Convert to fraction form
    261,526.22/360,943.90 = 145,266.21/x
  3. Step 3: Cross multiply
    261,526.22x = 360,943.90 × 145,266.21
  4. Step 4: Simplify right side
    261,526.22x = 52,432,952,012.45
  5. Step 5: Solve for x
    x = 52,432,952,012.45/261,526.22
  6. Step 6: Final answer
    x = 200,488.32

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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.