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Finding the Fourth Proportional to 157,940.88, 217,833.01 and 119,307.61

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Solution

The fourth proportional to 157,940.88, 217,833.01 and 119,307.61 is: 164,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,940.88 : 217,833.01 = 119,307.61 : x
  2. Step 2: Convert to fraction form
    157,940.88/217,833.01 = 119,307.61/x
  3. Step 3: Cross multiply
    157,940.88x = 217,833.01 × 119,307.61
  4. Step 4: Simplify right side
    157,940.88x = 25,989,135,802.21
  5. Step 5: Solve for x
    x = 25,989,135,802.21/157,940.88
  6. Step 6: Final answer
    x = 164,549.77

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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.