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Finding the Fourth Proportional to 306,533.79, 459,795.38 and 137,934.81

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Solution

The fourth proportional to 306,533.79, 459,795.38 and 137,934.81 is: 206,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,533.79 : 459,795.38 = 137,934.81 : x
  2. Step 2: Convert to fraction form
    306,533.79/459,795.38 = 137,934.81/x
  3. Step 3: Cross multiply
    306,533.79x = 459,795.38 × 137,934.81
  4. Step 4: Simplify right side
    306,533.79x = 63,421,787,689.50
  5. Step 5: Solve for x
    x = 63,421,787,689.50/306,533.79
  6. Step 6: Final answer
    x = 206,899.83

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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.