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Finding the Fourth Proportional to 137,043.11, 189,177.80 and 83,345.38

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Solution

The fourth proportional to 137,043.11, 189,177.80 and 83,345.38 is: 115,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,043.11 : 189,177.80 = 83,345.38 : x
  2. Step 2: Convert to fraction form
    137,043.11/189,177.80 = 83,345.38/x
  3. Step 3: Cross multiply
    137,043.11x = 189,177.80 × 83,345.38
  4. Step 4: Simplify right side
    137,043.11x = 15,767,094,738.89
  5. Step 5: Solve for x
    x = 15,767,094,738.89/137,043.11
  6. Step 6: Final answer
    x = 115,052.08

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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.