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Finding the Fourth Proportional to 201,888.29, 302,444.34 and 112,871.84

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Solution

The fourth proportional to 201,888.29, 302,444.34 and 112,871.84 is: 169,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,888.29 : 302,444.34 = 112,871.84 : x
  2. Step 2: Convert to fraction form
    201,888.29/302,444.34 = 112,871.84/x
  3. Step 3: Cross multiply
    201,888.29x = 302,444.34 × 112,871.84
  4. Step 4: Simplify right side
    201,888.29x = 34,137,449,153.39
  5. Step 5: Solve for x
    x = 34,137,449,153.39/201,888.29
  6. Step 6: Final answer
    x = 169,090.78

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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.