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Finding the Fourth Proportional to 127,803.82, 191,614.05 and 48,851.50

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Solution

The fourth proportional to 127,803.82, 191,614.05 and 48,851.50 is: 73,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,803.82 : 191,614.05 = 48,851.50 : x
  2. Step 2: Convert to fraction form
    127,803.82/191,614.05 = 48,851.50/x
  3. Step 3: Cross multiply
    127,803.82x = 191,614.05 × 48,851.50
  4. Step 4: Simplify right side
    127,803.82x = 9,360,633,763.58
  5. Step 5: Solve for x
    x = 9,360,633,763.58/127,803.82
  6. Step 6: Final answer
    x = 73,242.21

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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.