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Finding the Fourth Proportional to 267,950.19, 401,402.84 and 149,264.13

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Solution

The fourth proportional to 267,950.19, 401,402.84 and 149,264.13 is: 223,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,950.19 : 401,402.84 = 149,264.13 : x
  2. Step 2: Convert to fraction form
    267,950.19/401,402.84 = 149,264.13/x
  3. Step 3: Cross multiply
    267,950.19x = 401,402.84 × 149,264.13
  4. Step 4: Simplify right side
    267,950.19x = 59,915,044,945.81
  5. Step 5: Solve for x
    x = 59,915,044,945.81/267,950.19
  6. Step 6: Final answer
    x = 223,605.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.