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Finding the Fourth Proportional to 145,347.34, 218,021.10 and 40,166.40

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Solution

The fourth proportional to 145,347.34, 218,021.10 and 40,166.40 is: 60,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,347.34 : 218,021.10 = 40,166.40 : x
  2. Step 2: Convert to fraction form
    145,347.34/218,021.10 = 40,166.40/x
  3. Step 3: Cross multiply
    145,347.34x = 218,021.10 × 40,166.40
  4. Step 4: Simplify right side
    145,347.34x = 8,757,122,711.04
  5. Step 5: Solve for x
    x = 8,757,122,711.04/145,347.34
  6. Step 6: Final answer
    x = 60,249.62

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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.