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Finding the Fourth Proportional to 291,193.56, 436,895.43 and 101,681.85

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Solution

The fourth proportional to 291,193.56, 436,895.43 and 101,681.85 is: 152,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,193.56 : 436,895.43 = 101,681.85 : x
  2. Step 2: Convert to fraction form
    291,193.56/436,895.43 = 101,681.85/x
  3. Step 3: Cross multiply
    291,193.56x = 436,895.43 × 101,681.85
  4. Step 4: Simplify right side
    291,193.56x = 44,424,335,578.95
  5. Step 5: Solve for x
    x = 44,424,335,578.95/291,193.56
  6. Step 6: Final answer
    x = 152,559.47

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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.