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Finding the Fourth Proportional to 137,062.40, 205,500 and 73,030.16

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Solution

The fourth proportional to 137,062.40, 205,500 and 73,030.16 is: 109,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062.40 : 205,500 = 73,030.16 : x
  2. Step 2: Convert to fraction form
    137,062.40/205,500 = 73,030.16/x
  3. Step 3: Cross multiply
    137,062.40x = 205,500 × 73,030.16
  4. Step 4: Simplify right side
    137,062.40x = 15,007,697,880
  5. Step 5: Solve for x
    x = 15,007,697,880/137,062.40
  6. Step 6: Final answer
    x = 109,495.37

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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.