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Finding the Fourth Proportional to 140,470.83, 210,662.33 and 46,954.71

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Solution

The fourth proportional to 140,470.83, 210,662.33 and 46,954.71 is: 70,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,470.83 : 210,662.33 = 46,954.71 : x
  2. Step 2: Convert to fraction form
    140,470.83/210,662.33 = 46,954.71/x
  3. Step 3: Cross multiply
    140,470.83x = 210,662.33 × 46,954.71
  4. Step 4: Simplify right side
    140,470.83x = 9,891,588,378.30
  5. Step 5: Solve for x
    x = 9,891,588,378.30/140,470.83
  6. Step 6: Final answer
    x = 70,417.38

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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.