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Finding the Fourth Proportional to 121,478.16, 182,269.87 and 65,252.67

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Solution

The fourth proportional to 121,478.16, 182,269.87 and 65,252.67 is: 97,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,478.16 : 182,269.87 = 65,252.67 : x
  2. Step 2: Convert to fraction form
    121,478.16/182,269.87 = 65,252.67/x
  3. Step 3: Cross multiply
    121,478.16x = 182,269.87 × 65,252.67
  4. Step 4: Simplify right side
    121,478.16x = 11,893,595,514.92
  5. Step 5: Solve for x
    x = 11,893,595,514.92/121,478.16
  6. Step 6: Final answer
    x = 97,907.27

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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.