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Finding the Fourth Proportional to 270,043.40, 405,074.82 and 101,548.28

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Solution

The fourth proportional to 270,043.40, 405,074.82 and 101,548.28 is: 152,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,043.40 : 405,074.82 = 101,548.28 : x
  2. Step 2: Convert to fraction form
    270,043.40/405,074.82 = 101,548.28/x
  3. Step 3: Cross multiply
    270,043.40x = 405,074.82 × 101,548.28
  4. Step 4: Simplify right side
    270,043.40x = 41,134,651,242.31
  5. Step 5: Solve for x
    x = 41,134,651,242.31/270,043.40
  6. Step 6: Final answer
    x = 152,326.08

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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.