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Finding the Fourth Proportional to 191,913.36, 287,902.84 and 65,546.67

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Solution

The fourth proportional to 191,913.36, 287,902.84 and 65,546.67 is: 98,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,913.36 : 287,902.84 = 65,546.67 : x
  2. Step 2: Convert to fraction form
    191,913.36/287,902.84 = 65,546.67/x
  3. Step 3: Cross multiply
    191,913.36x = 287,902.84 × 65,546.67
  4. Step 4: Simplify right side
    191,913.36x = 18,871,072,445.54
  5. Step 5: Solve for x
    x = 18,871,072,445.54/191,913.36
  6. Step 6: Final answer
    x = 98,331.21

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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.