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Finding the Fourth Proportional to 133,216.76, 199,903.95 and 49,036.04

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Solution

The fourth proportional to 133,216.76, 199,903.95 and 49,036.04 is: 73,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216.76 : 199,903.95 = 49,036.04 : x
  2. Step 2: Convert to fraction form
    133,216.76/199,903.95 = 49,036.04/x
  3. Step 3: Cross multiply
    133,216.76x = 199,903.95 × 49,036.04
  4. Step 4: Simplify right side
    133,216.76x = 9,802,498,088.36
  5. Step 5: Solve for x
    x = 9,802,498,088.36/133,216.76
  6. Step 6: Final answer
    x = 73,583.07

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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.