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Finding the Fourth Proportional to 252,031.64, 347,804.52 and 138,854.12

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Solution

The fourth proportional to 252,031.64, 347,804.52 and 138,854.12 is: 191,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,031.64 : 347,804.52 = 138,854.12 : x
  2. Step 2: Convert to fraction form
    252,031.64/347,804.52 = 138,854.12/x
  3. Step 3: Cross multiply
    252,031.64x = 347,804.52 × 138,854.12
  4. Step 4: Simplify right side
    252,031.64x = 48,294,090,556.62
  5. Step 5: Solve for x
    x = 48,294,090,556.62/252,031.64
  6. Step 6: Final answer
    x = 191,619.16

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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.