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Finding the Fourth Proportional to 133,879.16, 200,851.92 and 40,384.76

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Solution

The fourth proportional to 133,879.16, 200,851.92 and 40,384.76 is: 60,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,879.16 : 200,851.92 = 40,384.76 : x
  2. Step 2: Convert to fraction form
    133,879.16/200,851.92 = 40,384.76/x
  3. Step 3: Cross multiply
    133,879.16x = 200,851.92 × 40,384.76
  4. Step 4: Simplify right side
    133,879.16x = 8,111,356,584.74
  5. Step 5: Solve for x
    x = 8,111,356,584.74/133,879.16
  6. Step 6: Final answer
    x = 60,587.15

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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.