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Finding the Fourth Proportional to 189,511.76, 284,207.16 and 77,191.76

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Solution

The fourth proportional to 189,511.76, 284,207.16 and 77,191.76 is: 115,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,511.76 : 284,207.16 = 77,191.76 : x
  2. Step 2: Convert to fraction form
    189,511.76/284,207.16 = 77,191.76/x
  3. Step 3: Cross multiply
    189,511.76x = 284,207.16 × 77,191.76
  4. Step 4: Simplify right side
    189,511.76x = 21,938,450,885.00
  5. Step 5: Solve for x
    x = 21,938,450,885.00/189,511.76
  6. Step 6: Final answer
    x = 115,763.01

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1.5x scale

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.