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Finding the Fourth Proportional to 136,970.88, 205,487.84 and 58,088.16

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Solution

The fourth proportional to 136,970.88, 205,487.84 and 58,088.16 is: 87,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,970.88 : 205,487.84 = 58,088.16 : x
  2. Step 2: Convert to fraction form
    136,970.88/205,487.84 = 58,088.16/x
  3. Step 3: Cross multiply
    136,970.88x = 205,487.84 × 58,088.16
  4. Step 4: Simplify right side
    136,970.88x = 11,936,410,527.97
  5. Step 5: Solve for x
    x = 11,936,410,527.97/136,970.88
  6. Step 6: Final answer
    x = 87,145.61

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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.