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Finding the Fourth Proportional to 137,188.35, 205,886.21 and 58,358.07

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Solution

The fourth proportional to 137,188.35, 205,886.21 and 58,358.07 is: 87,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,188.35 : 205,886.21 = 58,358.07 : x
  2. Step 2: Convert to fraction form
    137,188.35/205,886.21 = 58,358.07/x
  3. Step 3: Cross multiply
    137,188.35x = 205,886.21 × 58,358.07
  4. Step 4: Simplify right side
    137,188.35x = 12,015,121,563.42
  5. Step 5: Solve for x
    x = 12,015,121,563.42/137,188.35
  6. Step 6: Final answer
    x = 87,581.21

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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.