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Finding the Fourth Proportional to 149,017.50, 223,526.79 and 141,542.82

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Solution

The fourth proportional to 149,017.50, 223,526.79 and 141,542.82 is: 212,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,017.50 : 223,526.79 = 141,542.82 : x
  2. Step 2: Convert to fraction form
    149,017.50/223,526.79 = 141,542.82/x
  3. Step 3: Cross multiply
    149,017.50x = 223,526.79 × 141,542.82
  4. Step 4: Simplify right side
    149,017.50x = 31,638,612,202.15
  5. Step 5: Solve for x
    x = 31,638,612,202.15/149,017.50
  6. Step 6: Final answer
    x = 212,314.74

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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.