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Finding the Fourth Proportional to 102,567.40, 141,333.06 and 75,667.40

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Solution

The fourth proportional to 102,567.40, 141,333.06 and 75,667.40 is: 104,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,567.40 : 141,333.06 = 75,667.40 : x
  2. Step 2: Convert to fraction form
    102,567.40/141,333.06 = 75,667.40/x
  3. Step 3: Cross multiply
    102,567.40x = 141,333.06 × 75,667.40
  4. Step 4: Simplify right side
    102,567.40x = 10,694,305,184.24
  5. Step 5: Solve for x
    x = 10,694,305,184.24/102,567.40
  6. Step 6: Final answer
    x = 104,266.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.