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Finding the Fourth Proportional to 218,596.80, 327,895.20 and 130,123.20

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Solution

The fourth proportional to 218,596.80, 327,895.20 and 130,123.20 is: 195,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,596.80 : 327,895.20 = 130,123.20 : x
  2. Step 2: Convert to fraction form
    218,596.80/327,895.20 = 130,123.20/x
  3. Step 3: Cross multiply
    218,596.80x = 327,895.20 × 130,123.20
  4. Step 4: Simplify right side
    218,596.80x = 42,666,772,688.64
  5. Step 5: Solve for x
    x = 42,666,772,688.64/218,596.80
  6. Step 6: Final answer
    x = 195,184.80

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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.