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Finding the Fourth Proportional to 362,577.51, 543,784.23 and 137,857.82

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Solution

The fourth proportional to 362,577.51, 543,784.23 and 137,857.82 is: 206,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,577.51 : 543,784.23 = 137,857.82 : x
  2. Step 2: Convert to fraction form
    362,577.51/543,784.23 = 137,857.82/x
  3. Step 3: Cross multiply
    362,577.51x = 543,784.23 × 137,857.82
  4. Step 4: Simplify right side
    362,577.51x = 74,964,905,779.26
  5. Step 5: Solve for x
    x = 74,964,905,779.26/362,577.51
  6. Step 6: Final answer
    x = 206,755.53

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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.