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Finding the Fourth Proportional to 307,953.80, 461,930.70 and 142,065.80

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Solution

The fourth proportional to 307,953.80, 461,930.70 and 142,065.80 is: 213,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,953.80 : 461,930.70 = 142,065.80 : x
  2. Step 2: Convert to fraction form
    307,953.80/461,930.70 = 142,065.80/x
  3. Step 3: Cross multiply
    307,953.80x = 461,930.70 × 142,065.80
  4. Step 4: Simplify right side
    307,953.80x = 65,624,554,440.06
  5. Step 5: Solve for x
    x = 65,624,554,440.06/307,953.80
  6. Step 6: Final answer
    x = 213,098.70

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1.5x scale

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.