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Finding the Fourth Proportional to 137,590.24, 189,908.40 and 83,904.88

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Solution

The fourth proportional to 137,590.24, 189,908.40 and 83,904.88 is: 115,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,590.24 : 189,908.40 = 83,904.88 : x
  2. Step 2: Convert to fraction form
    137,590.24/189,908.40 = 83,904.88/x
  3. Step 3: Cross multiply
    137,590.24x = 189,908.40 × 83,904.88
  4. Step 4: Simplify right side
    137,590.24x = 15,934,241,512.99
  5. Step 5: Solve for x
    x = 15,934,241,512.99/137,590.24
  6. Step 6: Final answer
    x = 115,809.39

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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.