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Finding the Fourth Proportional to 212,403.24, 318,605.03 and 145,640.93

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Solution

The fourth proportional to 212,403.24, 318,605.03 and 145,640.93 is: 218,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,403.24 : 318,605.03 = 145,640.93 : x
  2. Step 2: Convert to fraction form
    212,403.24/318,605.03 = 145,640.93/x
  3. Step 3: Cross multiply
    212,403.24x = 318,605.03 × 145,640.93
  4. Step 4: Simplify right side
    212,403.24x = 46,401,930,550.65
  5. Step 5: Solve for x
    x = 46,401,930,550.65/212,403.24
  6. Step 6: Final answer
    x = 218,461.50

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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.