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Finding the Fourth Proportional to 140,470.71, 210,662.14 and 46,954.59

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Solution

The fourth proportional to 140,470.71, 210,662.14 and 46,954.59 is: 70,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,470.71 : 210,662.14 = 46,954.59 : x
  2. Step 2: Convert to fraction form
    140,470.71/210,662.14 = 46,954.59/x
  3. Step 3: Cross multiply
    140,470.71x = 210,662.14 × 46,954.59
  4. Step 4: Simplify right side
    140,470.71x = 9,891,553,124.14
  5. Step 5: Solve for x
    x = 9,891,553,124.14/140,470.71
  6. Step 6: Final answer
    x = 70,417.20

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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.