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Finding the Fourth Proportional to 261,647.38, 361,043.58 and 146,910.67

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Solution

The fourth proportional to 261,647.38, 361,043.58 and 146,910.67 is: 202,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,647.38 : 361,043.58 = 146,910.67 : x
  2. Step 2: Convert to fraction form
    261,647.38/361,043.58 = 146,910.67/x
  3. Step 3: Cross multiply
    261,647.38x = 361,043.58 × 146,910.67
  4. Step 4: Simplify right side
    261,647.38x = 53,041,154,237.00
  5. Step 5: Solve for x
    x = 53,041,154,237.00/261,647.38
  6. Step 6: Final answer
    x = 202,719.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.