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Finding the Fourth Proportional to 137,762.40, 206,643.60 and 49,018.80

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Solution

The fourth proportional to 137,762.40, 206,643.60 and 49,018.80 is: 73,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,762.40 : 206,643.60 = 49,018.80 : x
  2. Step 2: Convert to fraction form
    137,762.40/206,643.60 = 49,018.80/x
  3. Step 3: Cross multiply
    137,762.40x = 206,643.60 × 49,018.80
  4. Step 4: Simplify right side
    137,762.40x = 10,129,421,299.68
  5. Step 5: Solve for x
    x = 10,129,421,299.68/137,762.40
  6. Step 6: Final answer
    x = 73,528.20

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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.