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Finding the Fourth Proportional to 141,409.68, 195,140.32 and 77,747

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Solution

The fourth proportional to 141,409.68, 195,140.32 and 77,747 is: 107,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409.68 : 195,140.32 = 77,747 : x
  2. Step 2: Convert to fraction form
    141,409.68/195,140.32 = 77,747/x
  3. Step 3: Cross multiply
    141,409.68x = 195,140.32 × 77,747
  4. Step 4: Simplify right side
    141,409.68x = 15,171,574,459.04
  5. Step 5: Solve for x
    x = 15,171,574,459.04/141,409.68
  6. Step 6: Final answer
    x = 107,288.09

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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.