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Finding the Fourth Proportional to 190,980.63, 286,221.87 and 106,737.39

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Solution

The fourth proportional to 190,980.63, 286,221.87 and 106,737.39 is: 159,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,980.63 : 286,221.87 = 106,737.39 : x
  2. Step 2: Convert to fraction form
    190,980.63/286,221.87 = 106,737.39/x
  3. Step 3: Cross multiply
    190,980.63x = 286,221.87 × 106,737.39
  4. Step 4: Simplify right side
    190,980.63x = 30,550,575,364.72
  5. Step 5: Solve for x
    x = 30,550,575,364.72/190,980.63
  6. Step 6: Final answer
    x = 159,966.88

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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.