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Finding the Fourth Proportional to 222,462.95, 306,752.87 and 141,762.65

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Solution

The fourth proportional to 222,462.95, 306,752.87 and 141,762.65 is: 195,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,462.95 : 306,752.87 = 141,762.65 : x
  2. Step 2: Convert to fraction form
    222,462.95/306,752.87 = 141,762.65/x
  3. Step 3: Cross multiply
    222,462.95x = 306,752.87 × 141,762.65
  4. Step 4: Simplify right side
    222,462.95x = 43,486,098,566.95
  5. Step 5: Solve for x
    x = 43,486,098,566.95/222,462.95
  6. Step 6: Final answer
    x = 195,475.69

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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.