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Finding the Fourth Proportional to 261,296.82, 360,654.93 and 160,636.50

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Solution

The fourth proportional to 261,296.82, 360,654.93 and 160,636.50 is: 221,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,296.82 : 360,654.93 = 160,636.50 : x
  2. Step 2: Convert to fraction form
    261,296.82/360,654.93 = 160,636.50/x
  3. Step 3: Cross multiply
    261,296.82x = 360,654.93 × 160,636.50
  4. Step 4: Simplify right side
    261,296.82x = 57,934,345,662.95
  5. Step 5: Solve for x
    x = 57,934,345,662.95/261,296.82
  6. Step 6: Final answer
    x = 221,718.53

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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.