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Finding the Fourth Proportional to 113,871.89, 157,208.79 and 75,683.22

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Solution

The fourth proportional to 113,871.89, 157,208.79 and 75,683.22 is: 104,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,871.89 : 157,208.79 = 75,683.22 : x
  2. Step 2: Convert to fraction form
    113,871.89/157,208.79 = 75,683.22/x
  3. Step 3: Cross multiply
    113,871.89x = 157,208.79 × 75,683.22
  4. Step 4: Simplify right side
    113,871.89x = 11,898,067,439.50
  5. Step 5: Solve for x
    x = 11,898,067,439.50/113,871.89
  6. Step 6: Final answer
    x = 104,486.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.