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Finding the Fourth Proportional to 261,098, 360,316.20 and 141,866

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Solution

The fourth proportional to 261,098, 360,316.20 and 141,866 is: 195,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,098 : 360,316.20 = 141,866 : x
  2. Step 2: Convert to fraction form
    261,098/360,316.20 = 141,866/x
  3. Step 3: Cross multiply
    261,098x = 360,316.20 × 141,866
  4. Step 4: Simplify right side
    261,098x = 51,116,618,029.20
  5. Step 5: Solve for x
    x = 51,116,618,029.20/261,098
  6. Step 6: Final answer
    x = 195,775.60

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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.