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Finding the Fourth Proportional to 295,775.25, 443,737.71 and 82,543.13

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Solution

The fourth proportional to 295,775.25, 443,737.71 and 82,543.13 is: 123,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,775.25 : 443,737.71 = 82,543.13 : x
  2. Step 2: Convert to fraction form
    295,775.25/443,737.71 = 82,543.13/x
  3. Step 3: Cross multiply
    295,775.25x = 443,737.71 × 82,543.13
  4. Step 4: Simplify right side
    295,775.25x = 36,627,497,263.74
  5. Step 5: Solve for x
    x = 36,627,497,263.74/295,775.25
  6. Step 6: Final answer
    x = 123,835.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.