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Finding the Fourth Proportional to 294,273, 406,098.36 and 160,137

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Solution

The fourth proportional to 294,273, 406,098.36 and 160,137 is: 220,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,273 : 406,098.36 = 160,137 : x
  2. Step 2: Convert to fraction form
    294,273/406,098.36 = 160,137/x
  3. Step 3: Cross multiply
    294,273x = 406,098.36 × 160,137
  4. Step 4: Simplify right side
    294,273x = 65,031,373,075.32
  5. Step 5: Solve for x
    x = 65,031,373,075.32/294,273
  6. Step 6: Final answer
    x = 220,989.94

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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.