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Finding the Fourth Proportional to 191,916.36, 287,907.34 and 65,549.67

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Solution

The fourth proportional to 191,916.36, 287,907.34 and 65,549.67 is: 98,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,916.36 : 287,907.34 = 65,549.67 : x
  2. Step 2: Convert to fraction form
    191,916.36/287,907.34 = 65,549.67/x
  3. Step 3: Cross multiply
    191,916.36x = 287,907.34 × 65,549.67
  4. Step 4: Simplify right side
    191,916.36x = 18,872,231,127.58
  5. Step 5: Solve for x
    x = 18,872,231,127.58/191,916.36
  6. Step 6: Final answer
    x = 98,335.71

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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.