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Finding the Fourth Proportional to 138,927.76, 208,391.63 and 33,746.02

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Solution

The fourth proportional to 138,927.76, 208,391.63 and 33,746.02 is: 50,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,927.76 : 208,391.63 = 33,746.02 : x
  2. Step 2: Convert to fraction form
    138,927.76/208,391.63 = 33,746.02/x
  3. Step 3: Cross multiply
    138,927.76x = 208,391.63 × 33,746.02
  4. Step 4: Simplify right side
    138,927.76x = 7,032,388,113.81
  5. Step 5: Solve for x
    x = 7,032,388,113.81/138,927.76
  6. Step 6: Final answer
    x = 50,619.03

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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.