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Finding the Fourth Proportional to 261,266.94, 391,522.14 and 180,130.68

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Solution

The fourth proportional to 261,266.94, 391,522.14 and 180,130.68 is: 269,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,266.94 : 391,522.14 = 180,130.68 : x
  2. Step 2: Convert to fraction form
    261,266.94/391,522.14 = 180,130.68/x
  3. Step 3: Cross multiply
    261,266.94x = 391,522.14 × 180,130.68
  4. Step 4: Simplify right side
    261,266.94x = 70,525,149,313.26
  5. Step 5: Solve for x
    x = 70,525,149,313.26/261,266.94
  6. Step 6: Final answer
    x = 269,935.22

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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.