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Finding the Fourth Proportional to 137,298.80, 189,339.22 and 107,073.11

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Solution

The fourth proportional to 137,298.80, 189,339.22 and 107,073.11 is: 147,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,298.80 : 189,339.22 = 107,073.11 : x
  2. Step 2: Convert to fraction form
    137,298.80/189,339.22 = 107,073.11/x
  3. Step 3: Cross multiply
    137,298.80x = 189,339.22 × 107,073.11
  4. Step 4: Simplify right side
    137,298.80x = 20,273,139,130.37
  5. Step 5: Solve for x
    x = 20,273,139,130.37/137,298.80
  6. Step 6: Final answer
    x = 147,657.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.