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Finding the Fourth Proportional to 267,887.48, 369,696.30 and 160,475

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Solution

The fourth proportional to 267,887.48, 369,696.30 and 160,475 is: 221,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,887.48 : 369,696.30 = 160,475 : x
  2. Step 2: Convert to fraction form
    267,887.48/369,696.30 = 160,475/x
  3. Step 3: Cross multiply
    267,887.48x = 369,696.30 × 160,475
  4. Step 4: Simplify right side
    267,887.48x = 59,327,013,742.50
  5. Step 5: Solve for x
    x = 59,327,013,742.50/267,887.48
  6. Step 6: Final answer
    x = 221,462.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.