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Finding the Fourth Proportional to 162,777.99, 224,554.38 and 105,400.83

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Solution

The fourth proportional to 162,777.99, 224,554.38 and 105,400.83 is: 145,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,777.99 : 224,554.38 = 105,400.83 : x
  2. Step 2: Convert to fraction form
    162,777.99/224,554.38 = 105,400.83/x
  3. Step 3: Cross multiply
    162,777.99x = 224,554.38 × 105,400.83
  4. Step 4: Simplify right side
    162,777.99x = 23,668,218,032.14
  5. Step 5: Solve for x
    x = 23,668,218,032.14/162,777.99
  6. Step 6: Final answer
    x = 145,401.83

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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.