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Finding the Fourth Proportional to 261,092, 360,307.32 and 147,922.40

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Solution

The fourth proportional to 261,092, 360,307.32 and 147,922.40 is: 204,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,092 : 360,307.32 = 147,922.40 : x
  2. Step 2: Convert to fraction form
    261,092/360,307.32 = 147,922.40/x
  3. Step 3: Cross multiply
    261,092x = 360,307.32 × 147,922.40
  4. Step 4: Simplify right side
    261,092x = 53,297,523,511.97
  5. Step 5: Solve for x
    x = 53,297,523,511.97/261,092
  6. Step 6: Final answer
    x = 204,133.12

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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.