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Finding the Fourth Proportional to 306,595.02, 459,954.05 and 106,861.78

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Solution

The fourth proportional to 306,595.02, 459,954.05 and 106,861.78 is: 160,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,595.02 : 459,954.05 = 106,861.78 : x
  2. Step 2: Convert to fraction form
    306,595.02/459,954.05 = 106,861.78/x
  3. Step 3: Cross multiply
    306,595.02x = 459,954.05 × 106,861.78
  4. Step 4: Simplify right side
    306,595.02x = 49,151,508,541.84
  5. Step 5: Solve for x
    x = 49,151,508,541.84/306,595.02
  6. Step 6: Final answer
    x = 160,314.11

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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.