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Finding the Fourth Proportional to 295,761.88, 443,938.74 and 138,101.32

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Solution

The fourth proportional to 295,761.88, 443,938.74 and 138,101.32 is: 207,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,761.88 : 443,938.74 = 138,101.32 : x
  2. Step 2: Convert to fraction form
    295,761.88/443,938.74 = 138,101.32/x
  3. Step 3: Cross multiply
    295,761.88x = 443,938.74 × 138,101.32
  4. Step 4: Simplify right side
    295,761.88x = 61,308,525,993.14
  5. Step 5: Solve for x
    x = 61,308,525,993.14/295,761.88
  6. Step 6: Final answer
    x = 207,290.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.