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Finding the Fourth Proportional to 212,053.68, 292,512.06 and 127,121.40

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Solution

The fourth proportional to 212,053.68, 292,512.06 and 127,121.40 is: 175,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,053.68 : 292,512.06 = 127,121.40 : x
  2. Step 2: Convert to fraction form
    212,053.68/292,512.06 = 127,121.40/x
  3. Step 3: Cross multiply
    212,053.68x = 292,512.06 × 127,121.40
  4. Step 4: Simplify right side
    212,053.68x = 37,184,542,584.08
  5. Step 5: Solve for x
    x = 37,184,542,584.08/212,053.68
  6. Step 6: Final answer
    x = 175,354.38

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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.