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Finding the Fourth Proportional to 139,946.70, 209,785.65 and 46,404.30

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Solution

The fourth proportional to 139,946.70, 209,785.65 and 46,404.30 is: 69,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,946.70 : 209,785.65 = 46,404.30 : x
  2. Step 2: Convert to fraction form
    139,946.70/209,785.65 = 46,404.30/x
  3. Step 3: Cross multiply
    139,946.70x = 209,785.65 × 46,404.30
  4. Step 4: Simplify right side
    139,946.70x = 9,734,956,238.30
  5. Step 5: Solve for x
    x = 9,734,956,238.30/139,946.70
  6. Step 6: Final answer
    x = 69,561.88

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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.