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Finding the Fourth Proportional to 252,058.76, 347,841.10 and 138,880.52

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Solution

The fourth proportional to 252,058.76, 347,841.10 and 138,880.52 is: 191,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,058.76 : 347,841.10 = 138,880.52 : x
  2. Step 2: Convert to fraction form
    252,058.76/347,841.10 = 138,880.52/x
  3. Step 3: Cross multiply
    252,058.76x = 347,841.10 × 138,880.52
  4. Step 4: Simplify right side
    252,058.76x = 48,308,352,845.37
  5. Step 5: Solve for x
    x = 48,308,352,845.37/252,058.76
  6. Step 6: Final answer
    x = 191,655.12

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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.