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Finding the Fourth Proportional to 201,113, 301,796.56 and 112,424.68

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Solution

The fourth proportional to 201,113, 301,796.56 and 112,424.68 is: 168,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113 : 301,796.56 = 112,424.68 : x
  2. Step 2: Convert to fraction form
    201,113/301,796.56 = 112,424.68/x
  3. Step 3: Cross multiply
    201,113x = 301,796.56 × 112,424.68
  4. Step 4: Simplify right side
    201,113x = 33,929,381,683.10
  5. Step 5: Solve for x
    x = 33,929,381,683.10/201,113
  6. Step 6: Final answer
    x = 168,708.05

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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.