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Finding the Fourth Proportional to 146,767, 220,151.04 and 35,959

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Solution

The fourth proportional to 146,767, 220,151.04 and 35,959 is: 53,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,767 : 220,151.04 = 35,959 : x
  2. Step 2: Convert to fraction form
    146,767/220,151.04 = 35,959/x
  3. Step 3: Cross multiply
    146,767x = 220,151.04 × 35,959
  4. Step 4: Simplify right side
    146,767x = 7,916,411,247.36
  5. Step 5: Solve for x
    x = 7,916,411,247.36/146,767
  6. Step 6: Final answer
    x = 53,938.63

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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.