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Finding the Fourth Proportional to 103,852.96, 155,667.12 and 41,454.88

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Solution

The fourth proportional to 103,852.96, 155,667.12 and 41,454.88 is: 62,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,852.96 : 155,667.12 = 41,454.88 : x
  2. Step 2: Convert to fraction form
    103,852.96/155,667.12 = 41,454.88/x
  3. Step 3: Cross multiply
    103,852.96x = 155,667.12 × 41,454.88
  4. Step 4: Simplify right side
    103,852.96x = 6,453,161,779.55
  5. Step 5: Solve for x
    x = 6,453,161,779.55/103,852.96
  6. Step 6: Final answer
    x = 62,137.49

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