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Finding the Fourth Proportional to 137,148.54, 205,541.73 and 73,813.02

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Solution

The fourth proportional to 137,148.54, 205,541.73 and 73,813.02 is: 110,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,148.54 : 205,541.73 = 73,813.02 : x
  2. Step 2: Convert to fraction form
    137,148.54/205,541.73 = 73,813.02/x
  3. Step 3: Cross multiply
    137,148.54x = 205,541.73 × 73,813.02
  4. Step 4: Simplify right side
    137,148.54x = 15,171,655,827.32
  5. Step 5: Solve for x
    x = 15,171,655,827.32/137,148.54
  6. Step 6: Final answer
    x = 110,622.07

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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.