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Finding the Fourth Proportional to 214,385.88, 295,988.04 and 137,940.52

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Solution

The fourth proportional to 214,385.88, 295,988.04 and 137,940.52 is: 190,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,385.88 : 295,988.04 = 137,940.52 : x
  2. Step 2: Convert to fraction form
    214,385.88/295,988.04 = 137,940.52/x
  3. Step 3: Cross multiply
    214,385.88x = 295,988.04 × 137,940.52
  4. Step 4: Simplify right side
    214,385.88x = 40,828,744,151.38
  5. Step 5: Solve for x
    x = 40,828,744,151.38/214,385.88
  6. Step 6: Final answer
    x = 190,445.12

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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.