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Finding the Fourth Proportional to 191,846.34, 287,795.76 and 65,452.65

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Solution

The fourth proportional to 191,846.34, 287,795.76 and 65,452.65 is: 98,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,846.34 : 287,795.76 = 65,452.65 : x
  2. Step 2: Convert to fraction form
    191,846.34/287,795.76 = 65,452.65/x
  3. Step 3: Cross multiply
    191,846.34x = 287,795.76 × 65,452.65
  4. Step 4: Simplify right side
    191,846.34x = 18,836,995,150.76
  5. Step 5: Solve for x
    x = 18,836,995,150.76/191,846.34
  6. Step 6: Final answer
    x = 98,187.93

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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.