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Finding the Fourth Proportional to 142,451.53, 213,726.06 and 53,730.41

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Solution

The fourth proportional to 142,451.53, 213,726.06 and 53,730.41 is: 80,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,451.53 : 213,726.06 = 53,730.41 : x
  2. Step 2: Convert to fraction form
    142,451.53/213,726.06 = 53,730.41/x
  3. Step 3: Cross multiply
    142,451.53x = 213,726.06 × 53,730.41
  4. Step 4: Simplify right side
    142,451.53x = 11,483,587,762.85
  5. Step 5: Solve for x
    x = 11,483,587,762.85/142,451.53
  6. Step 6: Final answer
    x = 80,614.00

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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.