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Finding the Fourth Proportional to 142,050.91, 213,039.51 and 42,187.63

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Solution

The fourth proportional to 142,050.91, 213,039.51 and 42,187.63 is: 63,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050.91 : 213,039.51 = 42,187.63 : x
  2. Step 2: Convert to fraction form
    142,050.91/213,039.51 = 42,187.63/x
  3. Step 3: Cross multiply
    142,050.91x = 213,039.51 × 42,187.63
  4. Step 4: Simplify right side
    142,050.91x = 8,987,632,023.26
  5. Step 5: Solve for x
    x = 8,987,632,023.26/142,050.91
  6. Step 6: Final answer
    x = 63,270.50

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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.