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Finding the Fourth Proportional to 127,685, 191,527.50 and 40,133

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Solution

The fourth proportional to 127,685, 191,527.50 and 40,133 is: 60,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,685 : 191,527.50 = 40,133 : x
  2. Step 2: Convert to fraction form
    127,685/191,527.50 = 40,133/x
  3. Step 3: Cross multiply
    127,685x = 191,527.50 × 40,133
  4. Step 4: Simplify right side
    127,685x = 7,686,573,157.50
  5. Step 5: Solve for x
    x = 7,686,573,157.50/127,685
  6. Step 6: Final answer
    x = 60,199.50

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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.